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ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic invariant theory; Cardano formula; quantum groups Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Abel's theorem in the noncommutative case | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic ramification; Galois cover; \(p\)-Sylow subgroup; characteristic \(p\) M. Raynaud, Spécialisation des revêtements en caractéristique \(p\)\ >\ 0. Ann. Sci. Éc. Norm. Supér. 32(1), 87-126 (1999) Ramification problems in algebraic geometry, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Valuation rings, Local ground fields in algebraic geometry Specializations of coverings in characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic \(L\)-functions; syntomic cohomology; Monsky-Washnitzer cohomology; \(p\)-adic regulators Gros, M., Régulateurs syntomiques et valeurs de fonctions \textit{L p}-adiques. II, Invent. math., 115, 1, 61-79, (1994) Arithmetic varieties and schemes; Arakelov theory; heights, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(p\)-adic cohomology, crystalline cohomology Syntomic regulators and values of \(p\)-adic \(L\)-functions. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic \(p\); local fundamental group; normal surface singularity; type of singularities; normal Brieskorn singularities Steven Dale Cutkosky and Hema Srinivasan, Local fundamental groups of surface singularities in characteristic \?, Comment. Math. Helv. 68 (1993), no. 2, 319 -- 332. Singularities of surfaces or higher-dimensional varieties, Homotopy theory and fundamental groups in algebraic geometry, Singularities in algebraic geometry Local fundamental groups of surface singularities in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic vector bundles; semistable; stable; galois descent Langer A, Moduli Spaces of sheaves and principal \(G\)-bundles, Alg. Geometry-Seattle 2005 Part I, 273-308, Proc. Symp. Pure Math., 80, Part I, AMS, Providence RI (2009) An analogue of Langton's theorem on valuative criteria for vector bundles | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic $L$-functions of varieties over global field; Birch and Swinnerton-Dyer conjecture; higher regulators; étale and other Grothendieck topologies and cohomologies; arithmetic ground fields \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Heights, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Abelian varieties of dimension \(> 1\), Étale and other Grothendieck topologies and (co)homologies, Arithmetic ground fields for abelian varieties On an analogue of the conjecture of Birch and Swinnerton-Dyer for abelian schemes over higher dimensional bases over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Nadel vanishing theorem; multiplier ideal sheaf; singular metric; metric with minimal singularities; injectivity theorem; harmonic integrals [12] S. Matsumura. A Nadel vanishing theorem via injectivity theorems. Math. Ann. 359 (2014) no.4, 785-802. Vanishing theorems in algebraic geometry, Multiplier ideals, Transcendental methods of algebraic geometry (complex-analytic aspects), Vanishing theorems A Nadel vanishing theorem via injectivity theorems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Curves over finite and local fields, Class groups and Picard groups of orders, Density theorems, Picard groups, Connectivity Incidence relation for primes of a global function field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Grothendieck ring; algebraic cycles Applications of methods of algebraic \(K\)-theory in algebraic geometry, \(K\)-theory of schemes A universal coefficient theorem with applications to torsion in Chow groups of Severi-Brauer varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic harmonic differentials Classification theory of Riemann surfaces, Differentials on Riemann surfaces, Harmonic functions on Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences Some remarks on the class of Riemann surfaces with \((W)\)-property | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Tate conjecture; crystalline cohomology; F-crystals; Hodge structures; K 3 surfaces A. Ogus, Periods of integrals in characteristic \(p\) , Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), PWN, Warsaw, 1984, pp. 753-762. \(p\)-adic cohomology, crystalline cohomology, Finite ground fields in algebraic geometry, Special surfaces Periods of integrals in characteristic p | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic differential equations; monodromy Kiran S. Kedlaya, Local monodromy of \?-adic differential equations: an overview, Int. J. Number Theory 1 (2005), no. 1, 109 -- 154. \(p\)-adic differential equations, \(p\)-adic cohomology, crystalline cohomology, de Rham cohomology and algebraic geometry Local monodromy of \(p\)-adic differential equations: an overview | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curves of high rank; Jacobians Elliptic curves over global fields, Curves over finite and local fields, Jacobians, Prym varieties, Elliptic curves Ordinary elliptic curves of high rank over \(\bar {\mathbb F}_{p}(x)\) with constant \(j\)-invariant. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cohomology groups; complete discretely valued fields; fields of rational fractions Izhboldin, O. T., On the cohomology groups of the field of rational functions, Mathematics in St. Petersburg, 21-44, (1996), American Mathematical Society, Providence, RI Homological methods (field theory), Brauer groups of schemes On the cohomology groups of the field of rational functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstrass points; modular curves; elliptic modular forms; congruence subgroups Kilger, K., Weierstrass points on \(X_0(p l)\) and arithmetic properties of Fourier coefficients of cusp forms, Ramanujan J., 17, 321-330, (2008) Riemann surfaces; Weierstrass points; gap sequences, Holomorphic modular forms of integral weight, Fourier coefficients of automorphic forms, Arithmetic aspects of modular and Shimura varieties Weierstrass points on \(X _{0}(p \ell )\) and arithmetic properties of Fourier coefficients of cusp forms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic finiteness of the number of families of principally polarized abelian varieties; Tate conjecture; Shafarevich conjecture Faltings, G., Arakelov's Theorem for Abelian Varieties, Invent. Math., 73 (1983), 337--347. Arithmetic ground fields for abelian varieties, Rational points, Finite ground fields in algebraic geometry, Abelian varieties of dimension \(> 1\) Arakelov's theorem for abelian varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic essential dimension; G-torsor; versality Group schemes, Linear algebraic groups over arbitrary fields Essential dimension of finite groups in prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic p-adic variety; rationality of Poincaré series; rational function; elimination of quantifiers Jan Denef, The rationality of the Poincaré series associated to the \(p -\)adic points on a variety, Invent. Math.77 (1984), p. 1-23 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Local ground fields in algebraic geometry, Quantifier elimination, model completeness, and related topics, Model theory of fields, Multiplicity theory and related topics The rationality of the Poincaré series associated to the p-adic points on a variety | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic B''ockle, G., Arithmetic over function fields: a cohomological approach, in: Number Fields and Function Fields -- Two Parallel Worlds, 1--38, Progr. Math., 239, Birkh''auser, Boston, MA, 2005. Zeta and \(L\)-functions in characteristic \(p\), \(p\)-adic cohomology, crystalline cohomology, Étale and other Grothendieck topologies and (co)homologies, Drinfel'd modules; higher-dimensional motives, etc., Modular forms associated to Drinfel'd modules, Arithmetic theory of algebraic function fields Arithmetic over function fields: a cohomological approach | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic D-basic subsets; Elimination; Uniformization; Rationality of Poincaré series; Rationality of Łojasiewicz exponents Denef, J.; van den Dries, L., \(p\)-adic and real subanalytic sets, Ann. of Math. (2), 128, 1, 79-138, (1988) Real algebraic and real-analytic geometry, Local ground fields in algebraic geometry \(p\)-adic and real subanalytic sets | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Chow group; Jacobians; theta characteristic Esnault, H.: Some elementary theorems about divisibility of 0-cycles on abelian varieties defined over finite fields, Int. math. Res. not., No. 19, 929-935 (2004) Arithmetic ground fields for abelian varieties, Algebraic cycles, Finite ground fields in algebraic geometry Some elementary theorems about divisibility of \(0\)-cycles on abelian varieties defined over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hecke; class number; fundamental discriminant; imaginary quadratic field; Lefschetz number; fixed points; modular curve Representation-theoretic methods; automorphic representations over local and global fields, Units and factorization, Class numbers, class groups, discriminants, Quadratic extensions, Modular and Shimura varieties A generalization of a theorem of Hecke for \(\mathrm{SL}_2(\mathbb{F}_p)\) to fundamental discriminants | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Richard Hain, Remarks on non-abelian cohomology of proalgebraic groups, J. Algebraic Geom. 22 (2013), no. 3, 581 -- 598. Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Rational points, Other nonalgebraically closed ground fields in algebraic geometry, Families, moduli of curves (algebraic) Remarks on non-abelian cohomology of proalgebraic groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic dual spaces; generalized Nakajima; Hilbert ideals; invariants; \(p\)-groups Actions of groups on commutative rings; invariant theory, Geometric invariant theory On Hilbert ideals for a class of \(p\)-groups in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann-Roch theorem; elliptic curve Riemann-Roch theorems, Elliptic curves, Divisors, linear systems, invertible sheaves A note on the Riemann-Roch theorem for elliptic curves over \(\mathbb{C}\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic p; classification of reduced irreducible prehomogeneous vector spaces; modular representation theory Chen, Z., A classification of irreducible prehomogeneous vector spaces over an algebraically closed field of characteristic p (I),Chin, Ann. of Math., 6A(1), 1985, 39--48 (in Chinese). Homogeneous spaces and generalizations, Finite ground fields in algebraic geometry, Representation theory for linear algebraic groups A classification of irreducible prehomogeneous vector spaces over an algebraically closed field of characteristic p. I | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic crepant resolution; quotient singularities; dimension four Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects), Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) Existence of crepant resolution for abelian quotient singularities by order \(p\) elements in dimension 4 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bruce-Roberts number; Milnor number; relative differential forms; Lê-Greuel formula Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Complex surface and hypersurface singularities, Topological invariants on manifolds The Milnor-Palamodov theorem for functions on isolated hypersurface singularities | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic generalization of Bloch's theorem; holomorphic map; abelian variety; Zariski dense image Siu, Y.-T.; Yeung, S.-K., \textit{A generalized bloch's theorem and the hyperbolicity of the complement of an ample divisor in an abelian variety}, Math. Ann., 306, 743-758, (1996) Hyperbolic and Kobayashi hyperbolic manifolds, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Theta functions and abelian varieties A generalized Bloch's theorem and the hyperbolicity of the complement of an ample divisor in an abelian variety | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brauer-Manin obstruction; Mordell-Lang conjecture; abelian varieties; function field; rational point Bjorn Poonen and José Felipe Voloch, The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields, Ann. of Math. (2) 171 (2010), no. 1, 511 -- 532. Varieties over global fields, Subvarieties of abelian varieties, Global ground fields in algebraic geometry The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic equations Algebraic functions and function fields in algebraic geometry On a theorem by Abel concerning algebraic functions. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Jonquière group; characteristic subgroups; group of unitriangular polynomial transformations Birational automorphisms, Cremona group and generalizations, Extensions, wreath products, and other compositions of groups Characteristic subgroups of the Jonquière group over a field of characteristic zero | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic conjecture of Morton-Silverman; \(ABC\) conjecture; pre=periodic points; polynomial maps Arithmetic ground fields for curves, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, Polynomials in number theory, Polynomials (irreducibility, etc.), Rational and birational maps, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, Higher degree equations; Fermat's equation Dynamical uniform boundedness and the \(abc\)-conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Kodaira dimension; characteristic p; rational vector field; quotient surface; abelian surface; hyperelliptic surface Katsura, T.; Takeda, Y., Quotients of abelian and hyperelliptic surfaces by rational vector fields, J. Algebra, 0021-8693, 124, 2, 472-492, (1989) Families, moduli, classification: algebraic theory, Homogeneous spaces and generalizations, Abelian varieties and schemes Quotients of abelian and hyperelliptic surfaces by rational vector fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic étale cohomology; real algebraic number fields; Artin-Verdier duality theorem Bienenfeld, M., An étale cohomology duality theorem for number fields with a real embedding., Trans. Amer. Math. Soc., 303, 1, 71-96, (1987) Galois cohomology, Class field theory, Étale and other Grothendieck topologies and (co)homologies An étale cohomology duality theorem for number fields with a real embedding | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic theta functions; non-archimedean valued field Theta functions and abelian varieties, Local ground fields in algebraic geometry, Other special functions, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.) Theta functions over \(p\)-adic fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Abelian varieties; isogenies; points of finite order; Tate modules; complex multiplication Zarhin, {\relax Yu. G}., Abelian varieties over fields of finite characteristic, Cent. Eur. J. Math., 12, 659-674, (2014) Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, Isogeny, Positive characteristic ground fields in algebraic geometry Abelian varieties over fields of finite characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Encinas S., Villamayor O.: A proof of desingularization over fields of characteristic zero. Rev. Mat. Iberoamericana 19(2), 339--353 (2003) Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects) A new proof of desingularization over fields of characteristic zero | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic function fields; Poincaré residue; differential form; rank n discrete valuation Kawahara, Y., Uchibori, T.: On residues of differential forms in algebraic function fields of several variables. TRU Math.21, 173--180 (1985) Arithmetic theory of algebraic function fields, Morphisms of commutative rings, Transcendental field extensions, Valued fields, Algebraic functions and function fields in algebraic geometry, Relevant commutative algebra On residues of differential forms in algebraic function fields of several variables | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic vanishing theorem Vanishing theorems in algebraic geometry, Low codimension problems in algebraic geometry, Projective techniques in algebraic geometry A vanishing theorem for the ideal sheaf of codimension two subvarieties of \(\mathbb{P}^ n\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic real Riemann surfaces; local homeomorphism; Chevalley's theorem; closure operator; constructible sets M.J. de la Puente , Riemann surfaces of a ring and compactifications of semi-algebraic sets , Doctoral Dissertation, Stanford 1988 [14] M.J. de la Puente , Specializations and a local homomorphism theorem for real Riemann surfaces of rings , Pac. J. Math. 176 ( 1996 ), 427 - 442 Article | MR 1435000 | Zbl 0868.13004 Valuations and their generalizations for commutative rings, Ordered rings, Relevant commutative algebra, Valued fields, Ordered fields, Basic properties of first-order languages and structures Specialization and a local homeomorphism theorem for real Riemann surfaces of rings | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic exponents; index theorems; \(p\)-adic differential equations \(p\)-adic differential equations, Coverings of curves, fundamental group \(p\)-adic exponents and index theorems for \(p\)-adic differential equations (after G. Christol and Z. Mebkhout) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic monodromy conjecture; \(p\)-adic zeta functions; motivic zeta functions; motivic integration; arc spaces J. Nicaise, An introduction to \(p\)-adic and motivic zeta functions and the monodromy conjecture, in \(Algebraic and Analytic Aspects of Zeta Functions and\)\(L-Functions\) (World Scientific, Singapore, 2010), pp. 141-166 Zeta functions and \(L\)-functions, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Arcs and motivic integration, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) An introduction to \(p\)-adic and motivic zeta functions and the monodromy conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic quinary field; curves with many rational points; global function fields; finite field; many rational places; Hilbert class field; hyperelliptic function field Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Rational points Global function fields with many rational places over the quinary field. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function fields; integral moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; ratios conjecture Zeta and \(L\)-functions in characteristic \(p\), \(\zeta (s)\) and \(L(s, \chi)\), Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) The integral moments and ratios of quadratic Dirichlet \(L\)-functions over monic irreducible polynomials in \(\mathbb{F}_q [T]\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic invariant; covariant; P-modular; determinant; permanent; prime characteristic; projective geometry; code; complete weight enumerator; additive basis Glynn D.G.: An invariant for matrices and sets of points in prime characteristic. Des. Codes Cryptogr. 58, 155--172 (2011) Algebraic combinatorics, Matrices, determinants in number theory, Algebraic coding theory; cryptography (number-theoretic aspects), Geometric invariant theory, Determinants, permanents, traces, other special matrix functions, Matrices over special rings (quaternions, finite fields, etc.), Vector and tensor algebra, theory of invariants, General theory of linear incidence geometry and projective geometries, Geometric methods (including applications of algebraic geometry) applied to coding theory An invariant for matrices and sets of points in prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic perfect codimension 2 varieties Ciliberto, C.; Geramita, A. V.; Orecchia, F.: Remarks on a theorem of Hilbert--burch. Boll. unione. Math. ital. 7, No. 2-B, 463-483 (1988) Determinantal varieties, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Low codimension problems in algebraic geometry Remarks on a theorem of Hilbert-Burch | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Ulmer, D, Jacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields, Math. Res. Lett., 14, 453-467, (2007) Rational points, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over global fields, Abelian varieties of dimension \(> 1\), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground fields in algebraic geometry, Subvarieties of abelian varieties, Arithmetic ground fields for abelian varieties Jacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Cremona group; system of generators Birational automorphisms, Cremona group and generalizations On relations in the two-dimensional Cremona group over a nonclosed field. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic etale cohomology; absolutely simple abelian variety; Tate conjecture on algebraic cycles Tankeev, S. G.: On cycles on abelian varieties of prime dimension over finite or number fields. Math. USSR izvestija 22, 329-337 (1984) Cycles and subschemes, Étale and other Grothendieck topologies and (co)homologies, Abelian varieties and schemes On cycles on abelian varieties of prime dimension over finite or number fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic regular irreducible prehomogeneous vector space Homogeneous spaces and generalizations, Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields A new prehomogeneous vector space of characteristic p | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Wronski systems; Weierstrass points; families of curves; complete intersections Esteves, E.: Wronski algebra systems on families of singular curves. Ann. sci. Éc. norm. Super. (4) 29, No. 1, 107-134 (1996) Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings, Families, moduli of curves (algebraic), Complete intersections Wronski algebra systems on families of singular curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function field; height; morphism; preperiod point Benedetto, R. L., \textit{heights and preperiodic points of polynomials over function fields}, Int. Math. Res. Not. IMRN, 62, 3855-3866, (2005) Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Heights, Other nonalgebraically closed ground fields in algebraic geometry Heights and preperiodic points of polynomials over function fields, | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic unirationality; elliptic surfaces; characteristic p; Lefschetz number Special surfaces, Rational and unirational varieties, Finite ground fields in algebraic geometry, Families, moduli, classification: algebraic theory The unirationality of certain elliptic surfaces in characteristic p | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic weight-monodromy conjecture; Rapoport-Zink spectral sequence Ito, T., \textit{weight-monodromy conjecture over equal characteristic local fields}, Amer. J. Math., 127, 647-658, (2005) Étale and other Grothendieck topologies and (co)homologies, Varieties over finite and local fields, Local ground fields in algebraic geometry Weight-monodromy conjecture over equal characteristic local fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Rigid analytic geometry A \(p\)-adically entire function with integral values on \(\mathbb{Q}_p\) and entire liftings of the \(p\)-divisible group \(\mathbb{Q}_p/\mathbb{Z}_p\). With an appendix by Maurizio Candilera. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann-Roch formula without denominators; deformation to the normal cone; Koszul complex; Chern classes; oriented cohomology pretheory Riemann-Roch theorems, (Equivariant) Chow groups and rings; motives On the Riemann-Roch theorem without denominators | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann surfaces; homology groups; de Rham cohomology Compact Riemann surfaces and uniformization, de Rham cohomology and algebraic geometry Hurwitz' theorem and a genararization for holomorphic maps of closed Riemann surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic simple simply connected algebraic group; Kostant Z-form; universal enveloping algebra; Lie algebra; hyperalgebra; Weyl module; composition factors; weights Deriziotis, D. I.: A proof of a Carter--cline theorem ona1. Bull. acad. Polon. sci. (Ser. Sci. math.) 30, 485-491 (1982) Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, Affine algebraic groups, hyperalgebra constructions A proof of a Carter-Cline theorem on \(A_ 1\)-Weyl modules | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois cohomology; \((\Phi,\Gamma)\)-modules Morita, K, Galois cohomology of a p-adic field via \((\phi,\Gamma )\)-modules in the imperfect residue field case, J. Math. Sci. Univ. Tokyo, 15, 219-241, (2008) Galois cohomology, \(p\)-adic cohomology, crystalline cohomology, Galois cohomology, Cohomological dimension of fields Galois cohomology of a \(p\)-adic field via \((\Phi,\Gamma)\)-modules in the imperfect residue field case | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic definable sets; singularities; local density; Whitney stratification; geometry of germs; Lipschitz decomposition Cluckers, R.; Comte, G.; Merle, M., Local metric properties and regular stratifications of \textit{p}-adic definable sets, Comment. math. helv., 87, 963-1009, (2012) Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Applications of model theory, Valued fields, Non-Archimedean valued fields, Singularities in algebraic geometry Local metric properties and regular stratifications of \(p\)-adic definable sets | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic mean values of \(L\)-functions; finite fields; function fields Zeta and \(L\)-functions in characteristic \(p\), \(\zeta (s)\) and \(L(s, \chi)\), Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) The moments and statistical distribution of class number of primes over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Lu, Jun; Sheng, Mao; Zuo, Kang, An Arakelov inequality in characteristic \(p\) and upper bound of \(p\)-rank zero locus, J. Number Theory, 0022-314X, 129, 12, 3029-3045, (2009) Families, moduli of curves (algebraic), Positive characteristic ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights An Arakelov inequality in characteristic \(p\) and upper bound of \(p\)-rank zero locus | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curves over function fields; Mordell-Weil lattices; \(L\)-function of an elliptic curve over a function field T. Shioda, Some remarks on elliptic curves over function fields , Astérisque 209 (1992), 12, 99-114. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Rational points, Elliptic curves over global fields, Algebraic functions and function fields in algebraic geometry Some remarks on elliptic curves over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-divisible formal groups; Hilbert symbol Benois, D., No article title, J. Reine und Angew. Math., 493, 115-151, (1997) Class field theory; \(p\)-adic formal groups, Formal groups, \(p\)-divisible groups \(p\)-adic periods and explicit reciprocity laws | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic heights; \(p\)-adic dynamical systems; commuting power series; endomorphisms; formal group Li, H.-C., On heights of \textit{p}-adic dynamical systems, Proc. Amer. Math. Soc., 130, 379-386, (2002) Class field theory; \(p\)-adic formal groups, Formal groups, \(p\)-divisible groups, Algebraic number theory: local fields On heights of \(p \)-adic dynamical systems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic heights; abelian variety; adjoint module; \(p\)-adic \(L\)-function; Tate-Shafarevich group; Artin-Mazur duality theory; descent; supersingular reduction -, Duality theorems for abelian varieties over \(\operatorname{\mathbb{Z} }_p\)-extensions, Advanced Studies in Pure Mathematics 17, Algebraic Number Theory-in honour of K. Iwasawa pp. 471-492, 1989. Arithmetic varieties and schemes; Arakelov theory; heights, Iwasawa theory, Algebraic theory of abelian varieties, Abelian varieties of dimension \(> 1\), Zeta functions and \(L\)-functions of number fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Duality theorems for abelian varieties over \(\mathbb{Z}_ p\)-extensions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Makar-Limanov invariant; additive group actions; cancellation problem R. Dryło, A remark on a paper of Crachiola and Makar-Limanov. Bull. Pol. Acad. Sci. Math. 59(3), 203-206 (2011) Actions of groups on commutative rings; invariant theory, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Group actions on affine varieties A remark on a paper of Crachiola and Makar-Limanov | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic surfaces; birational model; canonical divisor Zucconi F.: A note on a theorem of Horikawa. Rev. Mat. Univ. Complut. Madrid 10, 277--295 (1997) Surfaces of general type, Divisors, linear systems, invertible sheaves, Rational and birational maps A note on a theorem of Horikawa | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstrass preparation theorem; quasianalytic local rings Adam Parusiński & Jean-Philippe Rolin, ``A note on the Weierstrass preparation theorem in quasianalytic local rings'', Can. Math. Bull.57 (2014) no. 3, p. 614-620 Real-analytic and semi-analytic sets, \(C^\infty\)-functions, quasi-analytic functions, Real-analytic functions A note on the Weierstrass preparation theorem in quasianalytic local rings | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic classification of codimension-2 arithmetically Buchsbaum subschemes; degree; number of minimal generators; regularity Chang, MC, Characterization of arithmetically Buchsbaum subschemes of codimension 2 in \({\mathbb{P}}^n\), J. Differ. Geom., 31, 323-341, (1990) Low codimension problems in algebraic geometry, Projective techniques in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Characterization of arithmetically Buchsbaum subschemes of codimension 2 in \(\mathbb P^ n\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic equivariant \(K\)-theory; Riemann-Roch theorems Dan Edidin & William Graham, ``Nonabelian localization in equivariant \(K\)-theory and Riemann-Roch for quotients'', Adv. Math.198 (2005) no. 2, p. 547-582 \(K\)-theory of schemes, Generalizations (algebraic spaces, stacks), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Group actions on varieties or schemes (quotients) Nonabelian localization in equivariant \(K\)-theory and Riemann --- Roch for quotients | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic finite fields; algebraic curves; algebraic function fields; elementary abelian \(p\)-extensions; rational points Rational points Elementary abelian \(p\)-extensions and curves with many points | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic dynamics; intersection theory; Arakelov theory Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems The arithmetic Hodge index theorem and rigidity of dynamical systems over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cancellation problem; affine space; positive characteristic Gupta, N., On the cancellation problem for the affine space \(\mathbb{A}^3\) in characteristic \textit{p}, Invent. Math., 195, 1, 279-288, (2014) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Polynomials over commutative rings, Actions of groups on commutative rings; invariant theory On the cancellation problem for the affine space \(\mathbb{A}^{3}\) in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic toric variety; line bundle; characteristic \(p\) methods; Cox ring Achinger, P.: A characterization of toric varieties in characteristic\(p\). Int. Math. Res. Notices (2015, to appear) Toric varieties, Newton polyhedra, Okounkov bodies, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Class groups A characterization of toric varieties in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Giulietti-Korchmáros function field; Hasse-Weil bound; maximal function fields; quotient curves; Galois subfields; genus spectrum Anbar, N.; Bassa, A.; Beelen, P., A complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function field \textit{Finite Fields Appl.}, 48, 318-330, (2017) Curves over finite and local fields, Separable extensions, Galois theory, Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves, Automorphisms of curves A complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Maranda theorem; liftings; Ext; simple isolated singularities Ding, S.; Solberg, Ø., The maranda theorem and liftings of modules, Comm. Algebra, 12, 1161-1187, (1993), MR 1209926 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Extension theory of commutative rings, Singularities in algebraic geometry The Maranda theorem and liftings of modules | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curve; Gauss map; sheaf of relative differentials; characteristic \(p\) Kaji H.: On the Gauss maps of space curves in characteristic p II. Compos. Math. 78(3), 261--269 (1991) Plane and space curves, Finite ground fields in algebraic geometry On the Gauss maps of space curves in characteristic \(p\). II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic differential equations, Difference algebra, Rigid analytic geometry Solvability of rank one \(p\)-adic differential and \(q\)-difference equations over the Amice ring | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \( \zeta \)-function of locally finite \(\mathfrak{G} \)-module; Riemann hypothesis analogue with respect to projective line; finite unramified coverings of locally finite \(\mathfrak{G} \)-modules with Galois closure Finite ground fields in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Zeta and \(L\)-functions in characteristic \(p\) Riemann hypothesis analogue for locally finite modules over the absolute Galois group of a finite field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Beauville structure; Beauville group; free group; free product of groups Free nonabelian groups, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Generators, relations, and presentations of groups, Surfaces of general type, Conjugacy classes for groups Beauville structures in \(p\)-central quotients | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curves; \(p\)-torsion points; field of definition Lozano-Robledo, Á., On the field of definition of p-torsion points on elliptic curves over the rationals, Math. Ann., 357, 279-305, (2013) Elliptic curves, Elliptic curves over global fields, Global ground fields in algebraic geometry On the field of definition of \(p\)-torsion points on elliptic curves over the rationals | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic geometric invariant theory; instability; representation theory; observable subgroups; quasiparabolic subgroups; subparabolic subgroups Geometric invariant theory, Group actions on varieties or schemes (quotients), Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields On a relative version of a theorem of Bogomolov over perfect fields and its applications | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Langlands duality; Hitchin fibration; non-abelian Hodge theory; D-modules in characteristic \(p\) Geometric Langlands program (algebro-geometric aspects), Geometric Langlands program: representation-theoretic aspects Survey on geometric Langlands and non-abelian Hodge theory in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curves; Iwasawa theory; \(p\)-adic heights; \(p\)-adic \(L\)-function; height pairing of abelian varieties; Iwasawa function; rational point of infinite order; Tate duality Karl Rubin, Abelian varieties, \?-adic heights and derivatives, Algebra and number theory (Essen, 1992) de Gruyter, Berlin, 1994, pp. 247 -- 266. \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Iwasawa theory, Local ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights Abelian varieties, \(p\)-adic heights and derivatives | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic efficiency of function field sieve; discrete logarithms in finite fields; supersingular elliptic curves Granger, R., Holt, A., Page, D., Smart, N.P., Vercauteren, F.: Function field sieve in Characteristic three.In: Algorithmic Number Theory Symposium - ANTS VI, pp. 223--234. Springer LNCS 3076 (2004) Algebraic coding theory; cryptography (number-theoretic aspects), Number-theoretic algorithms; complexity, Applications to coding theory and cryptography of arithmetic geometry, Cryptography Function field sieve in characteristic three | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic intersection number; Cartier divisor; Cartier \(b\)-divisor; Grothendieck group Divisors, linear systems, invertible sheaves, Rational and birational maps, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Note on the Grothendieck group of subspaces of rational functions and Shokurov's Cartier \(b\)-divisors | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic noncommutative algebraic geometry; motive; crystalline cohomology Noncommutative algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, \(K\)-theory and homology; cyclic homology and cohomology, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Chain complexes (category-theoretic aspects), dg categories A note on Grothendieck's standard conjectures of type \(\mathrm{C}^+\) and \(\mathrm{D}\) in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brauer group; global field; variety; completion Arteche, Giancarlo Lucchini: Le groupe de Brauer non ramifié sur un corps global de caractéristique positive, C. R. Acad. sci. Paris sér. I math. 351, No. 7-8, 299-302 (2013) Brauer groups of schemes, Brauer groups (algebraic aspects) The unramified Brauer group over a global field of positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function field; Galois module structure; Kummer orders; abelian varieties over number fields; zeta-function A. Agboola , Abelian varieties and Galois module structure in global function fields , Math. Z. (to appear). Article | Zbl 0863.11078 Integral representations related to algebraic numbers; Galois module structure of rings of integers, Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\) Abelian varieties and Galois module structure in global function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic central simple algebra; field extension; characteristic polynomial Reichstein, Z.; Youssin, B., Conditions satisfied by characteristic polynomials in fields and division algebras, J. Pure Appl. Algebra, 166, 165-189, (2002), MR1868544 Skew fields, division rings, Equations in general fields, Group actions on varieties or schemes (quotients), Polynomials in general fields (irreducibility, etc.) Conditions satisfied by characteristic polynomials in fields and division algebras | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic dynamical systems; arithmetic degree; dynamical degree Matsuzawa, Y., Sano, K., Shibata, T.: Arithmetic degrees and dynamical degrees of endomorphisms on surfaces. arXiv:1701.04369\textbf{(preprint)} Dynamical systems over global ground fields, Rational and birational maps, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps Arithmetic degrees for dynamical systems over function fields of characteristic zero | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic reductive algebraic groups over local fields; Bruhat-Tits buildings Linear algebraic groups over local fields and their integers, Algebraic functions and function fields in algebraic geometry, Groups acting on trees, Groups with a \(BN\)-pair; buildings On the structure of the fundamental domain of arithmetic subgroups of the symplectic group over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic commutative algebraic groups; transcendence theory; \(p\)-adic numbers Linear forms in logarithms; Baker's method, Elliptic curves over global fields, Group varieties Some applications of the \(p\)-adic analytic subgroup theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic isomorphism of Witt rings; Witt equivalence of fields; global field; algebraic function field Koprowski, Przemysław, Local-global principle for Witt equivalence of function fields over global fields, Colloq. Math., 91, 2, 293-302, (2002) Algebraic theory of quadratic forms; Witt groups and rings, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Quadratic forms over general fields, Algebraic functions and function fields in algebraic geometry Local-global principle for Witt equivalence of function fields over global fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois representation; étale cohomology; abelian variety; finitely generated field W. Gajda and S. Petersen, Independence of {}-adic Galois representations over function fields, Compos. Math. 149 (2013), no. 7, 1091-1107. Abelian varieties of dimension \(> 1\), Étale and other Grothendieck topologies and (co)homologies Independence of \(\ell\)-adic Galois representations over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Euler characteristics; (commutative and noncommutative) compact \(p\)-adic Lie groups; cohomology groups; special values of \(L\)-functions; elliptic curves; Iwasawa algebra R. Sujatha, Euler-Poincare characteristics of \(p\)-adic Lie groups and arithmetic, preprint, 2000. Representations of Lie and linear algebraic groups over local fields, Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves Euler-Poincaré characteristics of \(p\)-adic Lie groups and arithmetic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic towers of algebraic function fields; genus; number of places Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Quadratic recursive towers of function fields over \(\mathbb{F}_2\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian variety; class field theory; Somekawa \(K\)-group Class field theory, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties Galois symbol maps for abelian varieties over a \(p\)-adic field | 0 |
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