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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. fields of characteristic 3; lines on quartic surfaces Rams, S.; Schütt, M., 112 lines on smooth quartic surfaces (characteristic 3), Q. J. Math., 66, 941-951, (2015) | 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. real analytic space; Whitney approximation theorem for differential functions; analytic bundle structure A. Tognoli,Problèmes d'approximation pour espaces analytiques réels, Ann. Univ. Ferrara, Sez. VII,28 (1982), pp. 55--66. | 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. Kummer variety of a hyperelliptic curve of genus 3; height function on the Jacobian; algorithms for computing the torsion subgroup; infinite descent | 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. Fredholm spectral picture of Toeplitz operators acting on the; least harmonic majorant Hardy space of a multiply connected planar; domain; methods of Hilbert barrier problems; Riemann-Roch theorem; Riemann singularity theorem for theta functions; critical Green's divisor; Fredholm spectral picture of Toeplitz operators acting on the least harmonic majorant Hardy space of a multiply connected planar domain | 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. function field of a curve; ultrametric valuation; function fields of surfaces; absolute values of a field; product formula; infinite 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. Harder-Narasimhan stratification; Drinfeld's relative compactifications; canonical reduction in arbitrary characteristic; Tannakian formalism for bundles; geometric Langlands program Schieder, Simon, The Harder-Narasimhan stratification of the moduli stack of \(G\)-bundles via Drinfeld's compactifications, Selecta Math. (N.S.), 21, 3, 763-831, (2015) | 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. tower of function fields; number of rational places; Zink's bound | 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. zeta-function; characteristic polynomial of the Frobenius endomorphism | 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. Galois cohomology; descent; Selmer group; theorem of Mordell-Weil; abelian variety; Iwasawa module; Tate-Shafarevich-group; p-adic zeta function; p-adic analytic group Harris, M, \(p\)-adic representations arising from descent on abelian varieties, Compos. Math., 39, 177-245, (1979) | 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. cancellation problem for transcendental field extensions; function field of a variety of general type DOI: 10.2307/2047141 | 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. elliptic curves; complex multiplication; abelian varieties; zeta function; modular functions; theta functions; periods of integrals; class fields; field of moduli of a polarized abelian variety; Hecke \(L\)-functions; periods of abelian integrals; period symbol; differential forms; polarizations Shimura, G., \textit{abelian varieties with complex multiplication and modular functions}, (1998), Princeton University Press, Princeton, NJ | 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. spherical varieties; spherical roots; homogeneous varieties; fields of positive characteristic F. Knop, \textit{Spherical roots of spherical varieties}, preprint arXiv:1303.2466. | 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. Kac-Moody algebra; Weyl character formula; Euler-Poincaré characteristic dimensions; vanishing theorems; cohomology of semi-ample line bundles; Schubert varieties; generalization of the Bott-Borel-Weyl theorem; Kempf's theorem Mathieu, Olivier, Formules de caractères pour les algèbres de Kac-Moody générales, Astérisque, 159-160, 267 pp., (1988) | 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. rational function fields; moduli varieties of stable symplectic vector bundles; rationality Katsylo, PI, Birational geometry of moduli varieties of vector bundles over \({\mathbb{P}}^2\), Math. USSR-Izv., 38, 419-428, (1992) | 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. closed subschemes; second main theorem; holomorphic curves; Cartier 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. set of prime ideals in an additive conservative system; spectral space; spectral map A. Nowicki, ?Prime ideal structure in additive conservative systems,? Demonstr. Math.,17, No. 1, 9?13 (1984). | 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. trace of Hecke correspondence; Frobenius endomorphism; intersection complexes of Baily-Borel compactification; Siegel modular variety; analogs in positive characteristic of the weighted cohomology complexes Morel, S., Complexes pondérés sur LES compactifications de baily-Borel: le cas des variétés de Siegel, J. Amer. Math. Soc., 21, 1, 23-61, (2008) | 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. error-correcting code; \(C_{ab}\) curves; towers of algebraic function fields; genus Shor, Caleb McKinley, Genus calculations for towers of functions fields arising from equations of \(C_{ab}\) curves, Albanian J. Math., 5, 1, 31-40, (2011) | 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. formal meromorphic function; formal holomorphic function; ampleness of the normal sheaf; subvariety in a quadric | 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. automatic sequences; transcendence in positive characteristic; transcendence of the period of the Tate elliptic curve Thakur, D.: Automata style proof of voloch's result on transcendence. J. number theory 58, 60-62 (1996) | 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. Puiseux's theorem; Newton-Puiseux algorithm; infinitely near points; proximate points; satellite and free points; resolution of singularities; equisingularity; semigroup of a curve; characteristic exponents; linear families of germs; clusters; polar germ; formal power series; convergent power series E. Casas-Alvero, Singularities of plane curves, London Math. Soc. Lecture Note Ser. 276, Cambridge University Press, Cambridge 2000. | 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. equivalence classes; nonsingular pencils of quadratic forms of even order; hyperelliptic function fields; norm map | 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. Henselian fields; closedness theorem; analytic structure; b-minimal cell decomposition; quantifier elimination; ordered abelian groups; fiber shrinking; Łojasiewicz inequalities; piecewise continuity; Hölder continuity; curve selection; transformation to normal crossings; resolution of singularities; definable retractions; extension of continuous definable 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. classical Lie algebras; degeneracy relations for conjugacy classes of nilpotent elements; symplectic and orthogonal Lie algebras; dimension formula; fixed point variety of nilpotent element; manifold of full flags; complete intersection; normality; differential criterion for regular elements; validity of Chevalley restriction theorem for invariant polynomials | 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. complex multiplications; elliptic curve; Abelian varieties; algebraic period relations; diophantine approximations to numbers related to these periods; approximations to \(\pi \); hypergeometric functions; CM-varieties; modular curves; transcendence problems; monodromy group; Padé approximation; irrationality measures; linear differential equations; fast solution of matrix difference equations; factorization of large integers; parallel computation Chudnovsky, D.V., Chudnovsky, G.V.: Approximations and complex multiplication according to Ramanujan. In: Ramanujan Revisited, Urbana-Champaign, IL, 1987, pp. 375--472. Academic Press, Boston (1988) | 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. prime geodesic theorem; Selberg trace formula; Faltings's delta function | 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. function field analogue of Mordell's conjecture; approximations of rational numbers by rationals; Grothendieck-Riemann-Roch theorem [V2] P. Vojta: Mordell's conjecture over function fields. Inv. Math.,98, 115--138 (1989) | 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. algebraic supergeometry; finiteness of cohomology in algebraic supergeometry; base change and semicontinuity for superschemes; relative Grothendieck duality; Hilbert and Picard superschemes; superperiod maps | 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. semisimple linear algebraic groups; motivic invariants; indices of Tits algebras; Grothendieck filtrations; algebras with orthogonal involution; quadratic forms; function fields of Severi-Brauer varieties Quéguiner-Mathieu, A.; Semenov, N.; Zainoulline, K., J. Pure Appl. Algebra, 216, 2614-2628, (2012) | 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. spacing distributions of zeros; zeros of the Riemann zeta-function; zeta functions of curves over finite fields; Montgomery-Odlyzko law; Ramanujan \(L\)-function; pair correlation; random matrix models; symplectic symmetry Katz, N.M., Sarnak, P.: Zeroes of zeta functions and symmetry. Bull. Am. Math. Soc. (N.S.) \textbf{36}(1), 1-26 (1999b) | 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. Drinfeld modular curve; expository paper; Shimura-Taniyama-Weil conjecture; function fields; rigid analytic geometry; Drinfeld modules of rank two; moduli space Gekeler ( E.U. ) and Reversat ( M. ) .- Some results on the Jacobians of Drinfeld modular curves , Preprint Univ. Toulouse 3 ( 1991 ). MR 1196521 | 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. Hecke zeta-function; non-abelian L-functions; scalar product of; L- functions; ideals with equal norms; integral points on norm form; varieties; meromorphic continuation; norm form equations; equidistribution of prime ideals; formal Euler product; absolute Weil group; algebraic number field; representations; virtual characters; Frobenius class; Größencharakteren B. Z. Moroz, \textit{Analytic Arithmetic in Algebraic Number Fields} (Springer, Berlin, 1986), Lect. Notes Math. 1205. | 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. conic optimization; extended formulation; linear matrix inequality; nonnegative circuit polynomial; polynomial optimization; projected spectrahedron; Ramsey theory; real algebraic geometry; second-order cone; semidefinite optimization; sum of squares; truncated quadratic module | 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. subspace theorem; second main theorem; subgeneral position | 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. public key cryptography; key exchange; discrete logarithm problem in elliptic congruence function fields A. Stein , Elliptic Congruence Function Fields . Proc. of ANTS II, Bordeaux , 1996 , Lecture Notes in Computer Science 1122 , Springer ( 1996 ), 375 - 384 . MR 1446525 | Zbl 0899.11055 | 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. 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. | 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. curve singularities; surface singularities; Iitaka's conjecture; Kodaira dimension; differential forms; vanishing theorems; Enriques-Kodaira classification; surfaces of general type; K3-surfaces; Enriques surfaces; Torelli theorem for marked K3-surfaces W. Barth, C. Peters and A. Van de Ven, \textit{Compact complex surfaces}, Springer, Germany (1984). | 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. regular meromorphic differential forms; Poincaré Leray residue; logarithmic residue; duality in tangent cohomology; index of vector fields; Fuchsian systems Alexandr G. Aleksandrov, ``Logarithmic differential forms, torsion differentials and residue'', Complex Var. Theory Appl.50 (2005) no. 7-11, p. 777-802 | 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. unlikely intersections; lacunary polynomials; algebraic tori; Vojta's conjecture; function fields; Wronskian | 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. excellent function field; curve of genus 0; quadratic forms over function fields M. Rost, On quadratic forms isotropic over the function field of a conic, Mathematische Annalen 288 (1990), 511--513. | 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. \(G\)-torsor; Galois cover; coherent cohomology groups; projective Euler characteristic; Galois module of the ring of integers; Galois extension of number fields; Fröhlich's conjecture; sheaf of regular differentials G. Pappas, ''Galois modules and the theorem of the cube,'' Invent. Math., vol. 133, iss. 1, pp. 193-225, 1998. | 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. dilogarithm; \(K\)-theory of fields; hyperbolic geometry; Dedekind function; polylogarithms; motivic complexes; Zagier's conjecture; curves; regulators; special values of \(L\)-functions; motivic Lie algebra; framed mixed Tate motives; hyperlogarithms A. Goncharov, \textit{Polylogarithms in arithmetic and geometry}, \textit{Proc. ICM}\textbf{1-2} (1995) 374. | 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. Vanishing cycles; Nongeneric pencils; Second Lefschetz; theorem; Monodromy; Variation map; Topology of polynomial 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. Iwasawa theory; lambda invariants; Selmer groups of \(p\)-adic representations of Galois groups; idempotents in endomorphism rings; genera of algebraic curves; Iwasawa invariants; class groups of number fields Michel, A.: A look at kani's formulae via Iwasawa theory. J. algebra 179, 1-30 (1996) | 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. apolar forms; fat points; generic forms; bound for the Hilbert function; ideal of functions vanishing at generic points; dimensions of spline functions; postulation; symbolic power; thin algebra; vanishing ideal A.V. Geramita: Inverse Systems of Fat Points: Waring's Problem, Secant Varieties of Veronese Varieties and Parameter Spaces for Gorenstein Ideals, The Curves Seminar at Queen's, Vol. X (Kingston, ON, 1995), pp. 2-114 (1996) | 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. rational points; Diophantine approximation; Schmidt's subspace theorem; filtered linear series; Vojta's 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. Beauville form; Fujiki invariant; irreducible hyperkähler manifold; locally symmetric variety of orthogonal type; period domain; Torelli theorem; modular form; cusp form; Weyl group; Zagier L-function; Cohen number; Siegel's formula V. Gritsenko, K. Hulek and G.\ K. Sankaran, Moduli spaces of irreducible symplectic manifolds, Compos. Math. 146 (2010), no. 2, 404-434. | 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. rationality of function fields; field of invariants; action of finite group; non ramified Brauer group; rationality problems; Noether problem D. J. Saltman, ''Multiplicative field invariants,''J. Algebra,106, 221--238 (1987). | 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. quasi-projective manifolds; relative \(K\)-theory; holomorphic bundles; characteristic classes; Hodge-Deligne cohomology; Chern-Simons forms; Riemann-Roch theorem; vector bundles; complex analytic manifold; Deligne-Beilinson cohomology; moduli spaces of 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. cubic plane curves; Fermat's last theorem; quantum field theories; elliptic integrals; elliptic functions; elliptic curves; moduli theory; nonlinear partial differential equations; soliton theory; strings; integrable Hamiltonian systems; Abel's theorem; diophantine equations; Mordell's theorem; algebraic equations of degree five; Tschirnhaus transformation; Bring equation; theta functions; quintic algebraic equations; introductory text V. Prasolov and Y. Solovyev 1997 \textit{Elliptic Functions and Elliptic Integrals} (American Mathematical Society) | 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. proof of Mordell conjecture; proof of Shafarevich conjecture; proof of Tate conjecture; modular height of abelian variety; Tate module of abelian variety; finiteness theorem for principally polarized abelian varieties Faltings, G., Endlichkeitssätze für abelsche Varietäten über Zahlkörpern, Invent. Math., 73, 349-366, (1983) | 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. elliptic curve; finite characteristic; Weierstraß \(\zeta\)-function; addition theorem; logarithmic derivative of the Mazur-Tate \(\sigma\)-function; Tate curve; universal vectorial extension | 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. smooth curve in characteristic \(p\); automorphism; lift of curve Obus, A.: The (local) lifting problem for curves. In: Galois-Teichmüller Theory and Arithmetic Geometry. Advanced Studies in Pure Mathematics, vol.\ 63, pp.~359--412. Mathematical Society of Japan, Tokyo (2012) | 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. Bezout theorem; complete intersections; analytic varieties; Grassmannian of q-dimensional subspaces; plurisubharmonic function; pluripolar set | 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. Hilbert sequence of a reduced algebra; algorithm for constructing Hilbert function; configuration of 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. Galois cohomology; theorem of Tate and Poitou; duality; one variable function field; quasi-finite field Douai, J. C.: Le théorème de Tate-poitou pour LES corps de fonctions des courbes. Comm. algebra 15, No. 11, 2379-2390 (1987) | 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. Artin's approximation theorem; hypersurface with an isolated singular point; \(\beta\)-function; Milnor number; multiplicity of the singular point Lejeune-Jalabert, M, Courbes tracées sur un germe D'hypersurface, Am. J. Math., 112, 525-568, (1990) | 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. Riemann-Roch theorem for weakly equivariant algebraic \({\mathcal D}\)-modules; action of complex diagonalisable groups; invariant global filtration; Grothendieck groups R. Joshua, Riemann Roch for equivariant \(\mathfrak D\)-modules. I , Math. Z. 206 (1991), no. 1, 131-144. | 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. special values of \(L\)-series; \(p\)-adic Hodge theory; partial \(L\)- functions; Iwasawa main conjecture for motives; Galois module structures; analytic zeta element K. Kato, Iwasawa theory and \(p\)-adic Hodge theory , Kodai Math. J. 16 (1993), 1--31. | 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. hypersurfaces; local cohomology; Jacobian ideal; logarithmic vector fields; logarithmic differential forms; free divisors; Hodge decomposition; Torelli type theorems; Macaulay's theorem; stable vector bundles; arrangements of hyperplanes Sernesi, E., The local cohomology of the Jacobian ring, Documenta Mathematica, 19, 541-565, (2014) | 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. semisimplicity of pure sheaves; finite ground field; Frobenius automorphism; semisimplicity of the Galois representations of function fields Lei Fu, On the semisimplicity of pure sheaves, Proc. Amer. Math. Soc. 127 (1999), no. 9, 2529 -- 2533. | 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. Fermat curves; Brumer-Stark conjecture for function fields; Artin- Schreier curves Coleman, R.: On the Frobenius endomorphisms of the Fermat and Artin--Schreier curves. In: The Arithmetic of Function Fields. Proc. Amer. Math Soc, vol. 102, pp. 463--466 (1988) | 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. Conjugate substitution; prime number; system of invariant function; values | 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. power series over fields of positive characteristic; automatic sequences; Mordell-Lang conjecture over positive characteristic; S-unit equations over positive characteristic Speyer, D.: Christol's theorem and the Cartier operator, blog post of 11 Feb 2010, downloaded August 2015. https://sbseminar.wordpress.com/2010/02/11/ | 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. generic Torelli theorem for projective hypersurfaces; generic injectivity of the period map; variational Schottky problem for curves Donagi, R., 'Generic Torelli and variational Schottky', in Topics in Transcendental Algebraic Geometry (ed. P. Griffiths), Ann. of Math. Studies 106, Princeton Univ., Princeton, N.J., 1984, pp. 239--258. | 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. Iwasawa theorem on annihilation of class group; arithmetic of CM-fields; CM-varieties; Grössencharacters; \(\mathbb Q\)-varieties; Jacobian of the Fermat-curve; Jacobi sums Schmidt C.-G., Lecture Notes in Mathematics 1082, in: Arithmetik Abelscher Varietäten mit komplexer Multiplikation (1984) | 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. Nash Tognoli theorem; approximation by real algebraic subsets; smooth submanifolds; projections of real algebraic 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. positive polynomials; sums of squares; even powers of linear forms; volume of convex bodies; Blaschke Santalo inequality; Kellog's theorem; Gegenbauer polynomials; gauge function G. Blekherman, \textit{There are significantly more nonnegative polynomials than sums of squares}, Israel J. Math., 153 (2006), pp. 355--380. | 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. quantum optics; two-level atom; atomic inversion; JCP model; approximation; functional equation for Jacobi theta functions; ATS 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. full level-N problem; elliptic curves; moduli scheme at infinity; characteristic p; Igusa curves; good-reduction theorem for Jacobians 26. Katz, Nicholas M. and Mazur, Barry \textit{Arithmetic moduli of elliptic curves}Annals of Math. Studies, vol. 108, Princeton Univ. Press, Princeton, NJ, 1985 Math Reviews MR772569 | 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. Brauer group of algebraic surface; Brauer group of function field; 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. function fields; finite fields; towers of function fields; Artin-Schreier extensions 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. recursive towers of function fields over finite fields; elliptic modular 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 geometry; abelian varieties; Roth theorem; heights of points of varieties; Mordell-Weil theorem; Severi-Néron theorem; Thue-Siegel-Roth theorem; Siegel's theorem; Hilbert's irreducibility theorem Lang, S.: Diophantine Geometry. New York: John Wiley \& Sons. 1962. | 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. general topology in the context of semi-algebraic spaces over; arbitrary real closed fields; CW-complexes; weakly semialgebraic spaces; homotopy; Homology; cohomology; Simplicial spaces; general topology in the context of semi-algebraic spaces over arbitrary real closed fields Knebusch M., Weakly Semialgebraic Spaces (1989) | 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. conductor of an arithmetic surface; torsion of the de Rham complex; functional equation for the Hasse-Weil zeta-function DOI: 10.1215/S0012-7094-87-05417-2 | 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. exponential sums; Weil's Riemann hypothesis; zeta functions; curves; function fields in one variable | 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. configuration; Gröbner basis of a polynomial ideal; computation of minimum degree for final polynomials; Desargues theorem B. Sturmfels, Computational algebraic geometry of projective configurations, Journal of Symbolic Computation, 1993, 11: 595--618. | 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. prime Galois coverings of \({\mathbb P}_ 1\); Riemann surface; hyperelliptic curves; theta functions; period matrix; Teichmüller space; lambda function; moduli spaces; normality; rationality González-Díez, G.: Loci of curves which are prime Galois coverings of \(P^1\). Proc. London Math. Soc. (3) 62 (1991), 469-489. | 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. automorphic representation; Deligne conjecture; Langlands correspondence; Poincaré function; Hecke algebra; cuspidal spectrum; trace formula; characteristic morphism; Drinfeld modular variety; \(\ell\)-adic cohomology; intersection cohomology; Satake compactification; rationality results; Grothendieck group of admissible representations; reduction theory; orbital integrals Laumon, Gérard, Cohomology of Drinfeld modular varieties. Part II, Cambridge Studies in Advanced Mathematics 56, xii+366 pp., (1997), Cambridge University Press, Cambridge | 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. algebraic-geometric codes; lattices; towers of function fields; hypergeometric analogs; theta series identities Solé, P.: Towers of function fields and iterated means. IEEE trans. Inform. theory 46, 1532-1535 (2000) | 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. number of solutions of \(S\)-unit equations; explicit version of the product theorem; Roth's lemma; approximation of algebraic numbers by rationals; quantitative subspace theorem; number of solutions of norm form equations J.-H. Evertse, An explicit version of Faltings' product theorem and an improvement of Roth's lemma. Acta Arith. 73 (1995), 215-248. Zbl0857.11034 MR1364461 | 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. linkage; vanishing theorem for the cohomology of arithmetically Buchsbaum curves; set theoretic intersection of three hypersurfaces Ellia Ph., Fiorentini M., Quelques remarques sur les courbes arithmétiquement Buchsbaum de l'espace projectif, Ann. Univ. Ferrara Sez. VII, 1987, 33, 89--111 | 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. Chern character; invariants of flat bundles; regulators; multiplicative \(K\)-theory; secondary characteristic classes; foliations; complex structures; transverse forms of foliations; Hodge filtration on a complex manifold; multiplicative \(G\)-bundle; filtered manifold; foliated vector bundles; truncated Weil algebras; holomorphic bundle with a partially holomorphic metric connection; complex algebraic bundles; complex algebraic manifolds; Hodge-Deligne filtrations; Chern-Cheeger-Simons invariant; cohomology of Deligne-Belinson; differential characters DOI: 10.1007/BF00961455 | 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. characteristic \(p\); unipotent part of Jacobian; group of rational torsion points; Chevalley's theorem; curve of genus two Penniston, D, Unipotent groups and curves of genus two, Math. Ann., 317, 57-78, (2000) | 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. algebraic function fields; arithmetic theory of correspondences | 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. function fields; derivatives of \(L\)-functions; moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; random matrix theory | 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. Galois group; inverse Galois theory; Mathieu groups; finite simple groups; embedding problems; rigidity method; Hilbertian fields; function fields; absolute Galois group; generating polynomials of Galois 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. cubic surfaces; rational surfaces; mimimal model program; reduction to prime characteristic; non-rationality; singularities of pairs János Kollár, Karen E. Smith & Alessio Corti, Rational and nearly rational varieties, Cambridge Studies in Advanced Mathematics 92, Cambridge University Press, 2004 | 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. Baker-Akhiezer (BA) module; BA function; genus \(g\) algebraic curve; ring of differential operators in \(g\) variables; principally polarized Abelian variety; non-singular theta divisor; evolution equations Cho, K.; Mironov, A.; Nakayashiki, A., Baker-Akhiezer modules on the intersections of shifted theta divisors, Publ. Res. Inst. Math. Sci., 47, 2, 553-567, (2011) | 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. multidimensional difference equations; Cauchy problem; generating function; Newton polyhedron of characteristic polynomial; rational cone | 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. global function fields; rational places; curves over finite fields; asymptotic measure of \(\mathbb{F}_q\)-rational points; class field towers; codes; Gilbert-Varshamov bound Niederreiter, H.; Xing, C., Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-varshamov bound, Math. Nachr., 195, 171-186, (1998) | 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. rationally simply connected varieties; projective homogeneous spaces; rational points; function fields of algebraic 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. Birch--Swinnerton-Dyer conjecture; Heegner points of modular curves; lower bound for class numbers of imaginary quadratic fields Benedict Gross and Don Zagier, Points de Heegner et dérivées de fonctions \?, C. R. Acad. Sci. Paris Sér. I Math. 297 (1983), no. 2, 85 -- 87 (French, with English summary). | 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. Bernoulli numbers; function field of one variable; Von Staudt-Clausen type decomposition theorem Chip Snyder, A concept of Bernoulli numbers in algebraic function fields, J. Reine Angew. Math. 307/308 (1979), 295 -- 308. | 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. Langlands correspondence; Ramanujan-Petersson conjecture for function fields; higher rank vector bundles; \({\mathcal D}\)-elliptic sheaves; \({\mathcal D}\)-shtukas; representability; algebraic stack; reducibility; Lefschetz numbers; Arthur-Selberg trace formula Lafforgue, L., Chtoucas de Drinfeld et conjecture de Ramanujan-Petersson, Astérisque, 243, (1997), ii + 329 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. Baker's method; lower bound for linear forms in logarithms of algebraic numbers; relative logarithmic Weil height; Kummer descent; extrapolation technique Baker, A.; Wüstholz, G., Logarithmic forms and group varieties, J. Reine Angew. Math., 442, 19-62, (1993) | 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. algebraic groups; homogeneous varieties; prime points; three primes theorem; Pfaffian; permanent; quadratic forms; linear equations in primes | 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. extended coset leader weight enumerator; generalized Reed-Solomon code; twisted cubic; classification of lines in three space 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. anabelian geometry; Milnor \(K\)-theory; function field; algebraic dependence; fundamental theorem of projective geometry; Bloch-Kato conjecture; Bass-Tate conjecture; Bertini theorem | 0 |
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