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Picard variety of a curve; generalized Jacobian; relative Cartier divisors rational points; Néron-Severi group; Jacobian variety; Néron-Tate pairing; number of fixed points; Thue curves; number of integral points | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors ramification curve of the general projection of a smooth surface; singularities; projection of a smooth space; construct singular plane curves D'Almeida, J.: Courbe de ramification de la projectoin su P2 d'une surface de P3. Duke Math. J. 65(2), 229--233 (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Zariski problem; fundamental group of the complement of a plane curve; braid group Dethloff, G., Orevkov, S., Zaidenberg, M.: Plane curves with a big fundamental group of the complement. In: Kuchment, P., Lin, V. (eds.) Voronezh Winter Mathematical Schools: Dedicated to Selim Krein, American Mathematical Society Translations-Series 2, vol. 184, pp. 63-84 (1998). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors components of a real algebraic variety; homology classes; Galois- Grothendieck cohomology; algebraic variety V. A. Krasnov, ''On homology classes defined by real points of a real algebraic variety,''Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSR-Izv.],55, No. 2, 282--302 (1991). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Degree of inversion of a curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Teichmüller curve; universal family of curves; Picard-Fuchs equation | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors classifying projections of a Veronesian variety; arithmetically Cohen- Macaulay; arithmetically Buchsbaum | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors group variety; Lehmer's problem; Lang-Silverman conjecture; lower bounds for the height of a point; canonical height; admissible line bundle; Abelian variety; torus Bertrand D., ''Minimal heights and polarizations on group varieties'' | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors existence of plane curve containing a given subscheme; general position DOI: 10.1080/00927878808823574 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors multiplicity of a root of an algebraic equation; multiplicity of a point of an algebraic variety; intersection multiplicity of algebraic varieties at a point; Weil's multiplicity; Hilbert-Samuel's multiplicity | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Teichmüller curve; positive divisor; Poincaré series; divisors of Prym differentials | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors first order ordinary differential equation; autonomous differential equation; non-linear scalar differential equation; differential field; generalized Jacobian; algebraic curve; algebraic dependence | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors representations of a dicrete group in \(SL_ 2({\mathbb{C}})\); actions on generalized trees; hyperbolic structures on surfaces; varieties of group representations; compactification of Teichmüller space; compactifications of real and complex algebraic varieties; affine algebraic set; valuations of the coordinate ring J. Morgan, P. Shalen. Valuations, trees, and degenerations of hyperbolic structures. I, \textit{Ann. of Math. } 120 (1984), 401--476. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard group; Tamagawa number; Brauer-Manin obstruction; Zbl 0991.72285; asymptotic behaviour; counting function; number of rational points of bounded height; Fano variety; geometric invariants; diagonal cubic surfaces; algorithm Peyre, E.; Tschinkel, Y., \textit{Tamagawa numbers of diagonal cubic surfaces, numerical evidence}, Math. Comp., 70, 367-387, (2001) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors f-gonal smooth curve; Jacobian variety Coppens, M.R.M.: Some sufficient conditions for the gonality of a smooth curve. J. Pure Appl. Alg.30, 5--21 (1983) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli space of curves; Kodaira dimension; difference variety; Jacobian variety Farkas, G.; Verra, A.: The universal difference variety over m\?g. Rend. circ. Mat. Palermo (2) 62, 97-110 (2013) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors rational normal curve; \(M\)-curve; unramified curve; Picard variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors compatible preorders; Picard group of a commutative ring; lattice; Grothendieck group of a semigroup | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors heights; Jacobian variety; hyperelliptic curve E. V. Flynn, An explicit theory of heights , Trans. Amer. Math. Soc. 347 (1995), no. 8, 3003-3015. JSTOR: | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curve in affine 5-space; semigroup associated to monomial curve; minimal set of generators for the ideal of a monomial curve Campillo, A. and Pisón, P.: Generators of a monomial curve and graphs for the associated semigroup. Bull. Soc. Math. Belg. Sér. A 45 (1993), no. 1-2, 45-58. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors arithmetic variety; number of sections of a Hermitian vector bundle H. Gillet and C. Soulé, Amplitude arithmétique, C. R. Acad. Sci. Paris Sér. I Math. 307 (1988), 887--890. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors survey of the group law algorithms; generalized Jacobian; hyperelliptic curves; cryptography; Arita-Miura-Sekiguchi algorithm | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors configuration of branches of an algebraic curve; Harnack theorem; number of limit cycles for a polynomial planar system; Hilbert's 16th problem | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Hilbert function of reduced irreducible arithmetically Cohen-Macaulay curve; linkage; minimal generators; liaison; Hilbert-function of a complete intersection Maggioni, R.; Ragusa, A.: Construction of smooth curves of P3 with assigned Hilbert function and generators' degrees. Le matematiche 42 (1987) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors spectral curves; stability of Picard sheaf; generalized theta divisor Li, Y., Spectral curves, theta divisors and Picard bundles, Int. J. Math., 2, 525-550, (1991) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors postulation; arithmetically Cohen-Macaulay space curve; complete intersection; numerically subcanonical curves; Hilbert function of a general hyperplane section | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors polarization of the Jacobian; Prym variety; Torelli theorem; extended Prym data; Gauss map V. Kanev,Recovering of curves with an involution by extended Prym data, Math. Annalen299 (1994), 391--414. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors singular locus of a Schubert variety Gasharov, Vesselin, Sufficiency of Lakshmibai-Sandhya singularity conditions for Schubert varieties, Compos. Math., 126, 1, 47-56, (2001), MR 1827861 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors computing the topological type of a nonsingular real-algebraic curve on a projective plane; ovals Arnon D., McCallum S.: A polynomial time algorithm for the topological type of a real algebraic curve. J. Symb. Comput. 5, 213--236 (1988) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors integration over algebraic variety; Euler characteristic; multiplicity of a point; Plücker formula O. Ya. Viro, ''Some Integral Calculus Based on Euler Characteristic,'' in Topology and Geometry: Rohlin Seminar (Springer, Berlin, 1988), Lect. Notes Math. 1346, pp. 127--138. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors endomorphisms of indecomposable semi-stable vector bundles; compact connected Riemann surface; Picard variety; universal family L. Brambila, Moduli of endomorphisms of vector bundles over a compact Riemann surface, preprint. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors conductor; upper bound for the Arakelov degree; Szpiro conjecture; Arakelov metric; bounding the height of a semi-stable elliptic curve; Weierstrass sections Frey, Gerhard; Kani, Ernst, Curves of genus \(2\) covering elliptic curves and an arithmetical application.Arithmetic algebraic geometry, Texel, 1989, Progr. Math. 89, 153-176, (1991), Birkhäuser Boston, Boston, MA | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Zariski problem; topological fundamental groups of complex algebraic varieties; good fibrations; mapping class group; fundamental group of the complement of a projective plane curve DOI: 10.1016/0040-9383(94)00045-M | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors genus two; Pic; Arakelov-Green function; Riemann surface; theta divisor of the jacobian variety Bost, J.-B.: Fonctions de Green-Arakelov, fonctions thêta et courbes de genre 2. C. R. Acad. Sci. Paris Sér. I Math. \textbf{305}(14), 643-646 (1987) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors periods of a holomorphic differentials; Macbeath curve; canonical homology basis Berry, Kevin; Tretkoff, Marvin, The period matrix of Macbeath's curve of genus seven. Curves, Jacobians, and abelian varieties, Amherst, MA, 1990, Contemp. Math. 136, 31-40, (1992), Amer. Math. Soc., Providence, RI | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors canonical height; hyperelliptic curve; curve of genus 2; Jacobian surface; Kummer surface J.S. Müller, M. Stoll, Canonical heights on genus two Jacobians. Algebra & Number Theory 10(10), 2153-2234 (2016) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors finite ground field; hyperelliptic Jacobian; endomorphisms of abelian variety; unitary group; Hermitean group; Galois group; Steinberg representation Zarhin Yu.G. (2003). Hyperelliptic jacobians and simple groups U3(2 m ). Proc. AMS 131: 95--102 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors flattening point of a curve; non-degenerate quasi-homogeneous singular point | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors toric variety; height of a variety; ronkin function; Legendre-Fenchel duality; mixed integral | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli space; vector bundles on a curve; generalized Theta divisor | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Frobenius-linear endomorphism of De Rham cohomology group; Jacobian of the Fermat curve; crystalline Weil group; Frobenius matrices; Morita gamma function R. Coleman, On the Frobenius matrices of Fermat curves, \textit{p}-adic analysis, Lecture Notes in Math. 1454, Springer, Berlin (1990), 173-193. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors stratification; filterable decomposition; Euler characteristics; equivariant cohomology; Betti numbers; quotient of a variety; motivic Euler characteristic; Hodge numbers Navarro Aznar, V.: Stratifications parfaites et théorie des poids. Publ. Mat. 36 (1992), no. 2B, 807--825 (1993) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors symplectic bundle on a curve; Picard bundle; moduli spaces; Hecke transformation DOI: 10.1142/S0129167X06003357 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors linearization of Hamiltonian systems; Euler equations; Jacobian variety; Lax equations with parameter; Toda lattice; Nahm's equations Griffiths P.A. (1984). Linearizing flows and a cohomological interpretation of Lax equations. Math. Sci. Res. Inst. Publ. 2: 36--46 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Hilbert function of a Cohen-Macaulay homogeneous domain; positive characteristic; Hilbert function of a general hyperplane section; strange curve; trisecant lemma E. Ballico and K. Yanagawa, On the \?-vector of a Cohen-Macaulay domain in positive characteristic, Comm. Algebra 26 (1998), no. 6, 1745 -- 1756. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors chiral Potts model; Jacobian; automorphism group of algebraic curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors affine algebraic variety; geometric degree of a morphism Adjamagbo, K.; Winiarski, T.: Refined Noether normalization theorem and sharp degree bounds for dominating morphisms. Comm. algebra 33, No. 7, 2387-2393 (2005) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors real part of a real Enriques surface; generalized Enriques surfaces; quotients Degtyarev, A.; Kharlamov, V., Distribution of the components of a real Enriques surface, (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Weierstrass semigroup of a point; double covering of a hyperelliptic curve; 4-semigroup Komeda, J., Ohbuchi, A.: Weierstrass points with first non-gap four on a double covering of a hyperelliptic curve II. Serdica Math. J. \textbf{34}, 771-782 (2008) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algorithm; Jacobian; modular curve; cryptography; quotients of modular Jacobians; number of points over finite fields Seigo Arita, Construction of secure \?_{\?\?} curves using modular curves, Algorithmic number theory (Leiden, 2000) Lecture Notes in Comput. Sci., vol. 1838, Springer, Berlin, 2000, pp. 113 -- 126. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors principally polarized abelian variety; Jacobian variety; effective cycle; locus of intermediate Jacobians of cubic 3-folds Debarre O. (1995). Minimal cohomology classes and Jacobians. J. Algebraic Geom. 4(2): 321--335 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors cohomology of function field of a curve; complete discretely valued field; function ring of curves; existence of noncrossed product division algebras; function field of \(p\)-adic curve E. Brussel and E. Tengan, \textit{Formal constructions in the Brauer group of the function field of a p-adic curve}, Transactions of the American Mathematical Society, to appear. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors duality; abelian variety; local field; Picard group; formal group; group scheme; fundamental group; torsor; global field; proalgebraic group; group of universal norms | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors higher direct image; quotient of universal bundle; tangent bundle of a flag variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Laurent polynomials; Cayley-Koszul complex; determinant; discriminant of a polynomial in two indeterminates; elliptic curve Gel'fand, I.; Zelevinskiǐand, A.; Kapranov, M., Discriminants of polynomials in several variables and triangulations of Newton polyhedra, Algebra i Analiz, 2, 1, (1990) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors flag variety; homogeneous ind-variety; generalized flag; linear embedding of flag varieties | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors essential dimension; essential \(p\)-dimension; functor; canonical \(p\)-dimension of a variety; algebraic group (\(G\)); \(G\)-scheme; \(G\)-torsor; strongly \(p\)-incompressible variety; category fibered in groupoids; group of multiplicative type; central simple algebra; étale algebra; quadratic and hermitian forms A.\ S. Merkurjev, Essential dimension: A survey, Transform. Groups 18 (2013), 415-481. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors descent on the Jacobian of Fermat curve; Fermat's last theorem; number of rational points; quotients of Fermat curves McCallum, W.G.: The Arithmetic of Fermat Curves. Math. Ann.294, 503--511 (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Kakeya problem; image set on \(F_q\)-points; Lang-Weil bound; reducibility of polynomials in several variables; number of irreducible components of a variety; indecomposable polynomials; affine polynomials; permutation polynomials K. Slavov, An algebraic geometry version of the Kakeya problem, in preparation. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors weakly normal variety; homeomorphic morphism of varieties; c-regular function; functions on a variety that lift to regular functions on the normalization Vitulli, M. A.: Corrections to ''seminormal rings and weakly normal varieties''. Nagoya math. J. 107, 147-157 (1987) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors minimal regular model of smooth curve over a discrete valuation field Liu, Qing, Modèles minimaux des courbes de genre deux, J. Reine Angew. Math., 453, 137-164, (1994) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors topology of the hyperplane sections of a smooth affine connected algebraic variety; locally trivial fibration; Milnor numbers Némethi, A.: Théorie de Lefschetz pour LES variétés algébriques affines. CR acad. Sc. Paris (1986) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors topological type of a plane curve singularity; Dynkin diagrams; \(A\Gamma\)-diagram L. Balke and R. Kaenders. On a certain type of Coxeter-Dynkin diagrams of plane curve singularities. Topology 35 (1996), no. 1, 39--54. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Riemann surfaces; equisymmetric family; Jacobian variety; field of definition | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors function field of a smooth projective curve; characteristic \(p\); \(abc\) theorem [Sc] T. Scanlon: ''The abc theorem for commutative algebraic groups in characteristic p'', Int. Math. Res. Notices, No. 18, (1997), pp. 881--898. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors L-functions for l-adic representations of the fundamental group; curve over a finite field | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Mordell-Weil groups of elliptic curves with complex; multiplication; Weil parametrizations; L-function attached to a Weil curve; anti-cyclotomic tower; Iwasawa theory of elliptic curves; p-adic height pairing; p-adic L-functions; p-adic Heegner measures; finiteness of the Tate-Shafarevich group; Mordell-Weil groups of elliptic curves with complex multiplication B. Mazur, Modular curves and arithmetic, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983) PWN, Warsaw, 1984, pp. 185 -- 211. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors automorphism group of a rational curve; nodes; genus | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generator of Picard group; divisor class group; local factoriality of moduli variety of vector bundle | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors linear series of algebraic curve; divisors; generic Torelli G.P. Pirola, M. Teixidor i Bigas, Generic Torelli for \(\(W^r_d\)\). Math. Z. 209(1), 53-54 (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors abelian sum of a bundle on a singular curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors collected papers; solvability by radicals; valuation theory; algebraic sheaf theory; uniformization of algebraic functions; purity of branch locus; fundamental group of a curve O. Zariski,Collected Papers, Vol. III, MIT Press, 1978, pp. 43--49. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Segre class of a singular projective variety; normal cone of the diagonal; Chern-Mather class | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors hyperkähler variety; Calabi-Yau variety; arithmetic model; Brauer group; Artin's conjecture; \(K3\)-surface; abelian surface; Hilbert scheme of points; generalized Kummer variety; Hilbert modular surface | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors group of polynomial automorphisms of a real compact affine variety M. W. Hirsch, Automorphisms of compact affine varieties, in Global Analysis in Modern Mathematics (Orono, ME, 1991; Walthom, MA, 1992), Publish or Perish, Houston, TX, 1993, pp. 227--245. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors cyclic coverings of a curve; abelian surface; very ample line bundle; Horrocks-Mumford bundle Ramanan, S.: Ample divisors on abelian surfaces. Proc. of London Math. Soc.51, 231--245 (1985) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Iwasawa theory of totally real number fields; covering of algebraic curves over a finite field; Drinfel'd modules; Picard group; L-series David Goss, The theory of totally real function fields, Applications of algebraic \?-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983) Contemp. Math., vol. 55, Amer. Math. Soc., Providence, RI, 1986, pp. 449 -- 477. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Clifford algebra of a binary form; relative Brauer group; conjugate splittings Haile, D.: On Clifford algebras, conjugate splittings, and function fields of curves. Israel math. Conf. proc. 1, 356-361 (1989) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors integral representations of Chevalley schemes; Jantzen sum formula; Arakelov geometry; generalized flag variety; equivariant Ray-Singer torsion; Hermitean symmetric space; arithmetic Lefschetz formula Kai Köhler and Damian Roessler, A fixed point formula of Lefschetz type in Arakelov geometry. I. Statement and proof, Invent. Math. 145 (2001), no. 2, 333 -- 396. , https://doi.org/10.1007/s002220100151 K. Köhler and D. Roessler, A fixed point formula of Lefschetz type in Arakelov geometry. II. A residue formula, Ann. Inst. Fourier (Grenoble) 52 (2002), no. 1, 81 -- 103 (English, with English and French summaries). Christian Kaiser and Kai Köhler, A fixed point formula of Lefschetz type in Arakelov geometry. III. Representations of Chevalley schemes and heights of flag varieties, Invent. Math. 147 (2002), no. 3, 633 -- 669. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Clifford index; Clifford index of a curve; linear series | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Weierstrass semigroup; double cover of a curve; rational ruled surface Plane curves of degree 4 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Lefschetz theorem; fundamental group of complement of a plane curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli of plane curves; Zariski pairs; cusp; torus curve; dual of a curve; non-torus curve M. Oka, Geometry of cuspidal sextics and their dual curves, to appear. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors hypermaps; Belyi function; automorphism group of a Riemann surface; canonical curve; fixed points Streit, Manfred, Homology, Belyĭ\ functions and canonical curves, Manuscripta Math., 90, 4, 489-509, (1996) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors minimal number of generators of derivation ring; Buchsbaum ring; coordinate ring of a monomial curve Molinelli S., Tamone G.,On the derivations of the homogeneous coordinate ring of a monomial curve in P k d . Comm. in Algebra20 (1992), 3279--3300. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors virtual Mordell-Weil rank; rationality of a curve; minimal bundle of non-hyperelliptic curves M.-H. SAITO - V. NGUYEN KHAC, On Mordell-Weil lattices for nonhyperelliptic fibrations of surfaces with zero geometric genus and irregularity, Izv. Ross. Akad. Nauk Ser. Mat., 66 (2002), pp. 137-154. Zbl1053.14043 MR1942097 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors embedding of a non-hyperelliptic curve; hyperplane section; vanishing property Wahl, J, The cohomology of the square of an ideal sheaf, J. Algebraic Geom., 6, 481-511, (1997) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors surface not of general type; degree of smooth surfaces; generic initial ideal; sporadic zero of a curve DOI: 10.1023/A:1000150519995 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors constructing a hypersurface which is birational to a given irreducible variety; construct a plane curve birational to a given curve; geometric modeling; resolvents; Gröbner bases; rational parametric equations Gao, X S; Chou, S C, On the parameterization of algebraic curves, Journal of Applicable Algebra in Engineering, Communication and Computing, 3, 27-3, (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard curve; Jacobian Sarlabous, J. Estrada; Barreiro, E. Reinaldo; Barceló, J. A. Piñeiro: On the Jacobian varieties of Picard curves: explicit addition law and algebraic structure. Math. nachr. 208, 149-166 (1999) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors central division algebras over the function field of a curve; Brauer group; elliptic curves V. I. Yanchevskiĭ and G. L. Margolin, Brauer groups of local hyperelliptic curves with good reduction, Algebra i Analiz 7 (1995), no. 6, 227 -- 249 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 7 (1996), no. 6, 1033 -- 1048. V. I. Yanchevskiĭ and G. L. Margolin, Erratum: ''Brauer groups of local hyperelliptic curves with good reduction'', Algebra i Analiz 8 (1996), no. 1, 237 (Russian). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Brauer group of a curve; henselization of a regular local ring Ford, T.J.: The Brauer group of a curve over a strictly local discrete valuation ring. Israel J. Math. 96, 259--266 (1996) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generation of Picard group; spin moduli space; algebraic curve; theta characteristic M. Cornalba, A remark on the Picard group of spin moduli space,Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 2 (1991), 211--217. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian; semistable reduction of modular curve; Galois representation | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian of modular curve; rational cuspidal points D. J. Lorenzini, Torsion points on the modular Jacobian \(J_{0}(N)\), Compositio Math., 96 (1995), 149-172. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors compute the period matrix of a real algebraic curve; uniformization; Poincaré series Seppälä, M.: Computation of period matrices of real algebraic curves. Discrete comput. Geom. 11, No. 1, 65-81 (1994) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors spark of a matrix; generic determinantal variety; affine algebraic set; irreducible component; dimension; linear capacity SPARK (2014). http://www.spark-2014.org | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Schoof algorithm; number of rational points; \(\ell\)-adic Tate module; elliptic curve over a finite field; Frobenius endomorphism Jean-Marc Couveignes and François Morain, Schoof's algorithm and isogeny cycles, Algorithmic number theory (Ithaca, NY, 1994) Lecture Notes in Comput. Sci., vol. 877, Springer, Berlin, 1994, pp. 43 -- 58. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors rational curves on 3-folds; Fano variety of index two; twistor curve; minimal twistor spaces; Fano variety; Fano threefolds DOI: 10.1093/qmath/45.3.343 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Prym-Tjurin varieties; Schottky problem; principally olarized abelian variety; automorphism of curve; cyclic covering | 0 |
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