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Picard variety of a curve; generalized Jacobian; relative Cartier divisors linear series on 4-gonal curves; gonality of a curve; stratification of the moduli space; Brill-Noether-theory \textsc{M. Coppens, } Linear series on \(4\)-gonal curves, Math. Nachr. \textbf{213} (2000), 35-55. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors stable sheaf on variety of dimension bigger than one; complete intersection curve; stable bundle with zero Chern classes; irreducible unitary representation of fundamental group V.B. Mehta and A. Ramanathan, Restriction of stable sheaves and representations of the fundamental group. Inv. Math. 77 (1984), pp. 163--172. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curve; function field; Jacobian; abelian variety; finite field; Mordell-Weil group; torsion; rank; \(L\)-function; Birch and Swinnerton-Dyer conjecture; Tate-Shafarevich group; Tamagawa number; endomorphism algebra; descent; height; Néron model; Kodaira-Spencer map; monodromy | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors symmetric power of a smooth projective curve; naive Grothendieck ring of varieties | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors gonality of a curve; abelian group of automorphisms; automorphisms of compact Riemann surfaces | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors postulation; Rao module; spectrum of a space curve; Cohen-Macaulay curve; index of speciality Schlesinger, E., A speciality theorem for Cohen-Macaulay space curves, Trans. Amer. Math. Soc., 351, 2731-2743, (1999) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic \(K\)-theory; Bloch-Quillen formula; Gersten spectral sequence; sheaves of higher \(K\)-groups; torsion; higher Chow groups; relative Chow group; Picard groups S. E. Landsburg, ''Relative Chow groups,'' Illinois J. Math., vol. 35, iss. 4, pp. 618-641, 1991. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors modular curve; Hecke algebra; modular deformation; analytic family of modular forms; Mordell-Weil group; modular Jacobian | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors prints of projective space as intersection with a scroll; k-gonal curve; Brill-Noether number --, On special linear systems on curves.Comm. in Algebra 18 (1990), 279--284. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Fermat curve; Jacobian variety; elliptic curve; canonical height Dąbrowski, A.; Jędrzejak, T.: Ranks in families of Jacobian varieties of twisted Fermat curves, Canad. math. Bull. 53, 58-63 (2010) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors number of points in a quadric; generalized Reed-Muller codes Y. Aubry, Reed-Muller codes associated to projective algebraic varieties. Lecture Notes in Math. 1518 (1992), 4-17. Zbl0781.94004 MR1186411 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors arcs; wedges; resolution of singularities; Nash map; essential divisors; uniruled variety M. Lejeune-Jalabert and A. J. Reguera-López, Exceptional divisors which are not uniruled belong to the image of the Nash map, 2008. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Fano threefolds; perturbations of Cartier divisor; ampleness of strictly nef divisors; Gorenstein surfaces Serrano F.: Strictly nef divisors and Fano threefolds. J. Reine Angew. Math. 464, 187--206 (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors fundamental group; topology of the complement of a plane curve; braid group; braid monodromy; line arrangement Moishezon, B; Teicher, M, Braid group technique in complex geometry, I, line arrangements in \(\mathbb{C}\mathbb{P}^2\), Contemp. Math., 78, 425-555, (1988) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors p-divisible part of the Jacobian; modular curve; Hecke algebra; Iwasawa algebra Tilouine, J., Un sous-groupe \textit{p}-divisible de la jacobienne de \(X_1(N p^r)\) comme module sur l'algèbre de Hecke, Bull. Soc. Math. France, 115, 3, 329-360, (1987) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors arithmetically Cohen-Macaulay variety; arithmetically Buchsbaum variety; hypersurface section; curve of maximal rank; liaison Migliore, J. C.; Nagel, U., On the Cohen-Macaulay type of the general hypersurface section of a curve, Math. Z., 219, 2, 245-273, (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors ample Cartier divisor; pseudo effective divisor; anti-Kodaira dimension; rational surface; isolated rational singularities; minimal resolution; Zariski decomposition of divisors; dimension formula; anti-genus Sakai, F, Anticanonical models of rational surfaces, Math. Ann., 269, 389-410, (1984) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors second Lefschetz theorem; vanishing cycles; pencils of hyperplane sections; fundamental group of the complement of a plane projective curve D. Chéniot, Vanishing cycles in a pencil of hyperplane sections of a non-singular quasi-projective variety, Proc. London Math. Soc. (3) 72 (1996), no. 3, 515 -- 544. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Koszul cohomology; duality theorem; vanishing theorems; Lefschetz theorems; image of a complex manifold; embedding; minimal free resolution of the ideal of the embedding of a smooth curve; Arbarello-Sernesi module; local Torelli theorems M. Green, Koszul cohomology and the cohomology of projective varieties, J. Differential Geom. 19 (1984), 125-171. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Rokhlin's inequality; island of a real curve; oval | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors elliptic curve; discrete logarithm problem; generalized Jacobian | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian; Prym variety; Prym map; bi-elliptic curve J. C. Naranjo, The positive dimensional fibres of the Prym map, Pac. J. Math. 172 (1) (1996), 223--226. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Fano variety; birational automorphisms; ample divisors; birationally superrigid Fano fibration; pencil of double quadrics | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors integral divisors; category of rational maps; generalized albanese pair; abelian fundamental group Hurşit Önsiper, On generalized Albanese varieties for surfaces, Math. Proc. Cambridge Philos. Soc. 104 (1988), no. 1, 1 -- 6. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors topology of a complex algebraic variety; stable diffeomorphity; Lefschetz theorem N. Yu. Netsvetaev, ''Diffeomorphism criteria for smooth manifolds and algebraic varieties,''Contemporary Math.,431 (3), 453--459 (1992). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors weak normalization of a projective variety DOI: 10.1155/S0161171285000254 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curves in projective 3-space; degree; maximum genus of a non singular connected curve [HH 2] Hartshorne, R., Hirschowitz, A.: Nouvelles courbes de genre éléve dans ?3 (en préparation) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard group of a scheme | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors plane curves; multiplicity of a singular point; degree of curve; genus formula; number of non-cuspidal singular points Yoshihara, H.: A note on the existence of some curves, 801-804 (1988) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors compactified Jacobian; theta divisors; moduli space; Picard bundle | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors singularities; Riemann-Kempf singularity theorem; non-hyperelliptic curve; linear equivalence classes of positive divisors; index of speciality | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors indecomposable projective modules; Chow group; Grothendieck group; divisor class group of a normal projective variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Mordell-Weil group; abelian variety; Iwasawa algebra; universal norms of a commutative formal group; rational points of a toroidal formal group; \({\mathbb{Z}}_ p\)-extension; complex multiplication Wingberg, K, On the rational points of abelian varieties over \({\mathbb{Z}}_{p}\)-extensions of number fields, Math. Ann., 279, 9-24, (1987) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors hyperelliptic curves; integral points; curve of genus 2; rational points; effective bounds; Jacobian; theta divisor Grant, D.: Integer points on curves of genus two and their Jacobians. Trans. amer. Math. soc. 344, No. 1, 79-100 (1994) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Euclidean algorithm; generalised Jacobian varieties; algebras of finite type over a field; Euclidean domains; Diophantine geometry; integral points on curves Brown, M.L., Euclidean rings of affine curves, Math. Z., 208, 3, 467-488, (1991) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors enumerative geometry; Cartier divisors; \(n\)-pointed, genus 0, stable maps; intersection products of \(\mathbb{Q}\)-divisors; characteristic numbers of rational curves; 1-cuspidal rational locus R. Pandharipande, Intersections of \(\({ Q}\)\)-divisors on Kontsevich's moduli space \(\({\overline{M}}_{0, n}({ P}^{r}, d)\)\) and enumerative geometry. Trans. Am. Math. Soc. 351(4), 1481-1505 (1999) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard bundles; sheaf on a complex abelian variety; Hermitian metric | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors superelliptic curve; Jacobian variety; twist theory | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generic initial ideal; lexicographic term; character of a space curve; general hyperplane sections Cook, M.: The connectedness of space curves invariants. Compositio Math. 111, 221--244 (1998) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors monomial curve; symmetric numerical semigroup; gluing; Gorenstein; Hilbert function of a local ring; Rossi's conjecture Arslan, F.; Sipahi, N.; Şahin, N., Monomial curve families supporting Rossi's conjecture, J. symbolic comput., 55, 10-18, (2013) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Todd class of a toric variety; number of lattice points; lattice polyhedron R. Morelli, Pick's theorem and the Todd class of a toric variety, Adv. Math. 100(2), 183--231 (1993). MR 1234309 (94j:14048). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Stable base loci; toric variety; cone of divisors Payne S.: Stable base loci, movable curves, and small modifications, for toric varieties. Math. Z. 253(2), 421--431 (2006) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors stable sheaf; rank 2 vector bundles; integral curve; number of nodes; stratification of moduli space; actions of cyclic subgroups of Jacobian; Euler number; torsion free sheaf; rational curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors topology of the Milnor fibre; monodromy for a plane curve singularity; filtration of cohomology; mixed Hodge structure Du Bois, Ph.; Michel, F.: Filtration par le poids et monodromie entière. Bull. soc. Math. France 120, 129-167 (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors deformation theory of isolated hypersurface singularities; small resolution; generalized Fano variety; threefold with trivial dualizing sheaf; maximum number of nodes; rational curves of low degree on quintic threefolds Losev, A., Nekrasov, N., Shatashvili, S.: \textit{Testing Seiberg-Witten solution}. In: Strings, branes and dualities (Cargèse, 1997), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. \textbf{520}. Dordrecht: Kluwer Acad. Publ., 1999, pp. 359-372 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors relative homotopy group; locally ringed \(T_ 0\) spaces; elliptic curve; fundamental groups of affine models; homotopy theory internal to algebraic varieties; monoid in algebraic varieties with zero | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors valuation rings of function fields; coordinate ring of affine; variety over a real closed field; prime cone | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors deformation of the symmetric product of a non-hyperelliptic curve; genus B. Fantechi, Déformations of symmetric products of curves.Contemporary Math. 162 (1994), 135--141. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Sklyanin algebras; graded noncommutative algebras; regularity; Yang- Baxter equation; elliptic curve; line bundle; survey; irreducible finite dimensional \(A\)-modules; category of finitely generated graded modules; point modules; cyclic modules; Hilbert series; projective variety; irreducible modules Smith, S. P., The four-dimensional Sklyanin algebras, \(K\)-Theory. Proceedings of Conference on Algebraic Geometry and Ring Theory in honor of Michael Artin, Part I (Antwerp, 1992), 8, 1, 65-80, (1994) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalized theta divisors; moduli spaces of vector bundles on curves Mihnea Popa, Generalized theta linear series on moduli spaces of vector bundles on curves, Handbook of moduli. Vol. III, Adv. Lect. Math. (ALM), vol. 26, Int. Press, Somerville, MA, 2013, pp. 219 -- 255. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Riemann surface; Riemann-Roch theorem; Jacobian of a finite graph; chip-firing games | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Index of a point; index of a curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors blowing up; toric variety; birational cobordism; decomposition of a birational mapping Bonavero, L.: Factorisation faible des applications birationnelles. Astérisque 282 (2002) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian of modular curve; number of isogeny classes of elliptic curves; quotients of the Jacobian | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Theorems of Mansion and Smith; determinant; function of the diagonals; product; divisors; line; proof of a corollary; principle of addition of rows; elements above the principal diagonal | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Shafarevich-Tate group; Picard groups; transcendental \(j\)-invariant; finite field; algebraic function field; elliptic curve; fibers of the Néron model; irreducible projective curve; Selmer group; embedding | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors postulation; arithmetically Cohen-Macaulay 0-dimensional subschemes of a smooth quadric; linear systems of divisors; Hilbert function Giuffrida, S; Maggioni, R; Ragusa, A, On the postulation of \(0\)-dimensional subschemes on a smooth quadric, Pac. J. Math., 155, 251-282, (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors affinoid space; rigid analytic geometry; non-archimedean valued ground field; affinoid algebra; Picard group; formal group of an elliptic curve E. Heinrich , M. van der PUT . '' Uber die Picardgruppen affinoider Algebren ''. Math Z. 186 , 9 - 28 ( 1984 ). Article | MR 735047 | Zbl 0543.14011 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian; Hilbert scheme; vector bundle; sheaf of reductive Lie algebras; Fano toric varieties; period maps; stratifications; Hodge-like structures; relative Higgs structures; perverse sheaves; Langlands program Reid, I, Nonabelian Jacobian of smooth projective surfaces -- a survey, Sci China Math, 56, 1-42, (2013) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors cotangent bundles of moduli spaces of vector bundles over a Riemann surface; completely integrable Hamiltonian systems; adjoint representation; Jacobian; Prym varieties N. Hitchin, \textit{Stable bundles and integrable systems}. Duke Math. J. 54 (1987), no. 1, 91--114. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors variety over a real closed field; divisors | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic cycles; approximation by regular mappings; real part of a complex abelian variety Joglar-Prieto, N.; Kollár, J., Real abelian varieties with many line bundles, Bull. Lond. Math. Soc., 35, 79-84, (2003) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli of curves; stable curve according to a cubic graph; Gaussian map; curve on a \(K3\) surface Rick Miranda, The Gaussian map for certain planar graph curves, Algebraic geometry: Sundance 1988, Contemp. Math., vol. 116, Amer. Math. Soc., Providence, RI, 1991, pp. 115 -- 124. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(p\)-adic integral of a complex power function; Igusa's conjecture; generalized Igusa local zeta functions | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Krichever correspondence; problem of Riemann-Schottky; matrix pseudo- differential operators; theta functions; generalized Jacobian; matrix KP hierarchy | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Fano threefold; moduli of vector bundles; spinor variety; intermediate Jacobian; theta divisor Iliev A., Markushevich D., atParametrization of sing {\(\Theta\)} for a Fano 3-fold of genus 7 by moduli of vector bundles, Asian J. Math., 2007, 11(3), 427--458 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors finitely generated ring of global sections; complete toric variety; Cartier divisor Elizondo, E. J., The ring of global sections of multiples of a line bundle on a toric variety, Proc. Am. Math. Soc., 125, 9, 2527-2529, (1997) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic geometry codes of V. D. Goppa; projective curve; finite field; parity-check matrices; rational points; prime divisors of degree 1; algebraic function field | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli space; vector bundles on a curve; generalized theta divisor Biswas, I.; Hein, G.: Generalization of a criterion for semistable vector bundles, (2008) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curves on a surface; type of curve; Hilbert functions; 0-dimensional subschemes Zappalà G.,0-dimensional subschemes of curves lying on a smooth quadric surface, Le Mathematiche,52 (1997), 115--127. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian of the modular curve; Néron model; Hecke operators; formal group law E. Nart : The formal completion of the Néron model of J0(p) , Publ. Mat. 35 (1991), 537-542. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli space of curves; covering of the elliptic curve; Jacobian; Humbert surface; moduli space of principally polarized abelian surfaces; period matrix Murabayashi, N.: The moduli space of curves of genus two covering elliptic curves. Man. Math. 84, 125--133 (1994) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors non-existence of hyperelliptic curve; Kummer variety; Abelian variety G.\ P. Pirola, Curves on generic Kummer varieties, Duke Math. J. 59 (1989), no. 3, 701-708. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Galois covering of complete irreducible nonsingular algebraic curves over a finite field; regular differentials; \(L\)-series; trace of the Cartier operator; character sums | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors diagonal cycle; triple product of a pointed curve; regular models; semi-stable reduction; height pairing; \(L\)-functions; modular curve Gross, B. H.; Schoen, C., \textit{the modified diagonal cycle on the triple product of a pointed curve}, Ann. Inst. Fourier (Grenoble), 45, 649-679, (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors p-adic theta functions; p-adic period matrix of a Mmford-Schottky curve of genus two; exceptional zero conjecture Teitelbaum, J., \(p\)-adic periods of genus two Mumford-Schottky curves, J. Reine Angew. Math., 385, 117-151, (1988) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Hodge class; divisor class; effective Weil divisors; effective Cartier divisors; moduli space of stable genus g curves; boundary class Cornalba, M; Harris, J, Divisor classes associated to families of stable varieties, with applications to the moduli space of curves, Ann. Sci. École Norm. Sup. (4), 21, 455-475, (1988) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Chow motive; moduli space; stable vector bundles; Poincaré-Hodge polynomial; symmetric power of a motive; \(\lambda\)-structure on a tensor category; MacDonald theorem; varieties of matrix divisors; standard conjecture of Lefschetz type; semisimplicity of Galois actions; Hodge conjecture; Tate conjecture S. del Baño, \textit{On the Chow motive of some moduli spaces}, J. Reine Angew. Math. \textbf{532} (2001), 105-132. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors homology of the spin moduli spaces of Riemann surfaces with spin structure; Arf invariant; spin mapping class groups; fermionic string theory; Picard group; configuration of simple closed curves on a surface Harer J.L. (1990) Stability of the homology of the moduli spaces of Riemann surfaces with spin structure. Math. Ann. 287(2): 323--334 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors elliptic modular group; Picard modular group; imaginary quadratic field; K-singular moduli; Hilbert modular group; jacobian; class-numbers of CM-extension Feustel, J, Eine klassenzahlformel für singuläre moduln der picardschen modulgruppen, Comp. Math, 76, 87-100, (1990) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors elementary equivalence; isomorphism; isogeny; function field; Severi-Brauer variety; quadric; elliptic curve; Jacobian | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Riemann-Schottky problem; Jacobian varieties of curves; theta divisors of non-hyperelliptic Jacobians; translation manifolds; Lie-Wirtinger- Poincaré-Tchebotarev theorem | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors exceptional Lie group; moduli space over compact Riemann surface; compactification of level set of integrable system; Prym variety; Jacobian variety; completely integrable system Katzarkov, L.; Pantev, T., Stable \(G_2\) bundles and algebraically completely integrable systems, Compos. math., 92, 43-60, (1994) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors cohomology ring of a Schubert variety E. Akyıldız, A. Lascoux, and P. Pragacz, Cohomology of Schubert subvarieties of \?\?_{\?}/\?, J. Differential Geom. 35 (1992), no. 3, 511 -- 519. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors derivatives of \(L\)-series; modular curve; Jacobian; Heegner divisor; conjectures of Birch and Swinnerton-Dyer Gross B., Kohnen W. and Zagier D., Heegner points and derivatives of \textit{L}-series. II, Math. Ann. 278 (1987), no. 1-4, 497-562. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors coordinate ring of an irreducible affine curve; Pic; Picard group DOI: 10.1007/BF01215648 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors splitting of normal bundles of a Cartier divisor Braun, R.: On the normal bundle of cartier divisors on projective varieties. Arch. math. 59, 403-411 (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors surjective morphism of normal algebraic varieties; Cartier divisors; Zariski decomposition of the log-canonical divisor; log-canonical ring Yujiro Kawamata, The Zariski decomposition of log-canonical divisors, Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985) Proc. Sympos. Pure Math., vol. 46, Amer. Math. Soc., Providence, RI, 1987, pp. 425 -- 433. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors ring of differential operators; smooth affine variety; ample line bundle; smooth projective curve; graded algebra; isolated singularity; rational singularities | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors finite fields; algebraic curves; Riemann-Roch theorem; number of rational points of an algebraic curves over a finite field; Riemann hypothesis; Hasse-Weil bound; asymptotic problems; zeta-functions and linear systems; a characterization of the Suzuki curve; maximal curves; Hermitian curve; Weierstrass points Torres F.: Algebraic curves with many points over finite fields. In: Martínez-Moro, E., Munuera, C., Ruano, D. (eds) Advances in Algebraic Geometry Codes, pp. 221--256. World Scientific Publishing Company, Singapore (2008) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors trigonal curves; algebraic stack; stack of smooth curves; Picard group of a stack; stack of vector bundles on a conic Bolognesi, M; Vistoli, A, Stacks of trigonal curves, Trans. Am. Math. Soc., 364, 3365-3393, (2012) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors totally degenerate curve; generalized Jacobian; Schottky problem; period matrices L. Gerritzen, Equations defining the periods of totally degenerate curves, Israel Journal of Mathematics 77 (1992), 187--210. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(J\)-map; classification of minimal elliptic surfaces over a curve; minimal elliptic surfaces; genus 2 curve; singular fiber | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic variety; \(abc\)-conjecture; finiteness theorem for \(S\)-unit points of a diophantine equation; Nevanlinna-Cartan theory over function fields | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors principal bundle; projective curve; moduli stack; generalized theta function; Strange Duality; conformal embedding of Lie algebras; space of conformal blocks Boysal, A., Pauly, C.: Strange duality for Verlinde spaces of exceptional groups at level one. Int. Math. Res. Not. (2009). 10.1093/imrn/rnp151 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(p\)-divisible group; modular elliptic curves; Galois representation; companion form; tame ramification; cuspidal eigenform; Kodaira-Spencer pairing; Serre-Tate pairing; Tate module of the Jacobian; de Rham cohomology of the Igusa curve Robert, F, Coleman and josé felipe voloch, companion forms and Kodaira-spencer theory, Invent. Math., 110, 263-281, (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors variation of mixed Hodge structure; mixed Hodge structure on the cohomology groups of a curve Joseph Steenbrink and Steven Zucker, Variation of mixed Hodge structure. I, Invent. Math. 80 (1985), no. 3, 489 -- 542. , https://doi.org/10.1007/BF01388729 Steven Zucker, Variation of mixed Hodge structure. II, Invent. Math. 80 (1985), no. 3, 543 -- 565. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Graph; Riemann surface; Riemann-Roch theorem; Jacobian of a finite graph; chip-firing games M. Baker and S. Norine, \textit{Riemann--Roch and Abel--Jacobi theory on a finite graph}, Adv. Math., 215 (2007), pp. 766--788, . | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors ramified covering; degree of a mapping; Jacobian conjecture; polynomial mapping A. V. Domrina and S. Yu. Orevkov, ''On Four-Sheeted Polynomial Mappings of \(\mathbb{C}\)2. I: The Case of an Irreducible Ramification Curve,'' Mat. Zametki 64(6), 847--862 (1998) [Math. Notes 64, 732--744 (1998)]. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Q-curve; abelian variety of GL(2)-type; Serre's conjecture T. Yamauchi, \(\ACHIQ\)-motives and modular forms , Journal of Number Theory 128 (2008), 1485-1505. | 0 |
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