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Picard variety of a curve; generalized Jacobian; relative Cartier divisors elliptic fibrations; Kummer surfaces; Weierstrass equation; , Mordell-Weil lattice; Jacobian of a curve Kumar, A, Elliptic fibrations on a generic Jacobian Kummer surface, J. Algebraic Geom., 23, 599-667, (2014) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Fano variety; canonical divisor; index; existence of smooth divisors in a linear system; minimal model program | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors group law on the Jacobian of a curve; Kummer surface E. V. Flynn, The group law on the Jacobian of a curve of genus \(2\) , J. Reine Angew. Math. 439 (1993), 45-69. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors second Chow group of a surface; Picard number; modular elliptic curve; Bass conjecture; Beilinson conjectures doi:10.1215/S0012-7094-92-06715-9 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors heat equation of the \(\tau\)-function; extended moduli space; extended relative Picard variety; Krichever map; projective Boson space; formal power series in infinitely many variables; Torelli period map; infinitesimally homogeneous spaces; theta functions satisfying the KP hierarchy | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors characteristic \(p\); Jacobian of a hyperelliptic curve; product of supersingular elliptic curves; genus; zero Hasse-Witt matrix Valentini, R., Hyperelliptic curves with zero Hasse-Witt matrix, Manuscr. Math., 86, 2, 185-194, (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalized \(k\)-th order theta functions; moduli space of semistable rank-\(r\) vector bundles; determinant bundle; Jacobian of a Riemann surface; conformal quantum field theories; Verlinde formula; strange duality A. BEAUVILLE, \textit{Vector bundles on curves and generalized theta functions: recent results and open} \textit{problems}, Complex Algebraic Geometry, MSRI Publications 28 (1995), 17--33. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors normal surface singularity; resolution graph; rational homology sphere; natural line bundle; Poincaré series; Abel map; Brill-Noether theory; effective Cartier divisors; Picard group; Laufer duality; elliptic singularities; elliptic sequence; end curve condition; monomial condition; splice quotient singularities | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors covering of a tetragonal curve; theta divisor; Prym variety O. Debarre , Sur les variétés de Prym des courbes tétragonales , Ann. Sc. Ec. Norm. Sup. 21, (1988), 545-559. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors divisors on a curve; gonality; Clifford index of an invertible sheaf; complete intersection curve Basili, B, Indice de Clifford des intersections complètes de l'espace, Bull. Soc. Math. France, 124, 61-95, (1996) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors variety dominated by images of a curve; Mori's program; smooth quasi-projective variety; log del Pezzo surfaces Keel, Seán; McKernan, James, Rational curves on quasi-projective surfaces, Mem. Amer. Math. Soc., 140, 669, viii+153 pp., (1999) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors theta-divisor; generalized double translation manifold; analytic hypersurface; double translation 3-fold; Jacobian varieties of nonhyperelliptic curves; principally polarized abelian variety; Lie- Wirtinger theorem J. B. Little, ''On Lie's approach to the study of translation manifolds'',J. Diff. Geom.,26, No. 2, 253--272 (1987). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors finite ground field; Jacobian of a curve; Néron model; Galois group; Frobenius endomorphism [15]P. Le Duff, Repr'esentations galoisiennes associ'ees aux points d'ordre l des jacobiennes de certaines courbes de genre 2, Bull. Soc. Math. France 126 (1998), 507--524. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors automorphisms of a generic Jacobian Kummer surface; Picard lattice Keum J H 1997 Automorphisms of Jacobian Kummer surfaces \textit{Compos. Math.}107 269--88 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors positive characteristic; coarse moduli space; field of moduli for a principally polarized abelian variety; smooth curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic curve; algebraic fundamental group; topological fundamental group; Hasse-Witt invariant; Jacobian variety; number of unramified Galois coverings Pacheco, A., Unramified Galois coverings of algebraic curves, J. number theory, 53, 211-228, (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors varieties of special divisors; Jacobian variety; dimension theorem [M3] G. Martens: On dimension theorems of the varieties of special divisors on a curve. Math. Ann.267 (1984), 279--288 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors bi-elliptic curve; double covering of a smooth curve; Prym variety; Prym map; tetragonal conjecture J. C. Naranjo,Prym varieties of bi-elliptic curves, J. reine angew. Math.424 (1992), 47--106. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generic n\(\times n\) matrices; classical division algebra of fractions; center; purely transcendental; Picard scheme; generic plane curve; function field; variety; rationality Van den Bergh M., The center of the generic division algebra, J. Algebra, 1989, 127(1), 106--126 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors vanishing order; vector field at a generic point of a smooth Fano variety; Picard number Hwang, J.-M.: On the vanishing orders of vector fields on Fano varieties of Picard number 1. Compos. Math. 125, 255--262 (2001) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Bogomolov's inequality; moduli space of stable curve; Chern class; cone of weakly positive Cartier divisors Moriwaki, Atsushi, Relative Bogomolov's inequality and the cone of positive divisors on the moduli space of stable curves, J. Amer. Math. Soc., 0894-0347, 11, 3, 569\textendash 600 pp., (1998) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors double cover of projective 3-space branched along a sextic; surface; intermediate Jacobian; threefold; Abel-Jacobi map; Albanese variety Ceresa G. and Verra A. (1986). The Abel-Jacobi isomorphism for the sextic double solid. Pac. J. Math. 124(1): 85--105 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors matrix factorizations; relative singularities of cartier divisors; triangulated categories of singularities; derived categories of the second kind; coderived categories; direct and inverse images; covariant Serre-Grothendieck; localization theory A. I. Efimov & L. Positselski, ``Coherent analogues of matrix factorizations and relative singularity categories'', Algebra Number Theory9 (2015) no. 5, p. 1159-1292 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Poincaré series for p-adic points on a variety; arithmetic theory of polynomials; Siegel-Weil formula; forms of higher degree; generalized Poisson formula; local zeta function; Bernshtein's theorem; Denef's theorem; rationality; zeta distributions; invariants for prehomogeneous vector spaces; poles | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors p-adic K-groups of a smooth variety; elliptic curves; higher p-adic regulator maps; values of a p-adic L-function; generalized conjecture of Birch and Swinnerton-Dyer Soulé, p-Adic K-theory of elliptic curves, Duke Math. J. 54 pp 249-- (1987) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalised Fermat equation; Jacobian variety; elliptic curve; Chabauty method; curves of genus 2 N. Bruin, The Diophantine equations \(x^{2} \pm y^{4}=\pm z^{6}\) and \(x^{2}+y^8=z^{3}\) , Compos. Math. 118 (1999), 305-321. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors pro-\(\ell\) fundamental group of an algebraic curve; automorphism group; linear Galois-representations; generalized Jacobian varieties; finite coverings | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curve singularity; semi-stable curve; Néron model of Jacobian variety Tong J.: Application d'Albanese pour les courbes et contractions. Math. Ann. 338, 405--420 (2007) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors rational parametrization; unirational variety; degree of a rational map; fiber of a rational map; base points; generalized resultants Pérez-Díaz, S.; Sendra, J. R.: Behavior of the fiber and the base points of parametrizations under projections, Math. comput. Sci. 7, No. 2, 167-184 (2013) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors character variety; Chern-Simons invariant; hyperbolic knots; volume conjecture; regulator of a curve W. Li and Q. Wang, On the generalized volume conjecture and regulator, math.GT/0610745 . | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors smooth projective curve; generalized Jacobian; relative Chow group | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors abelian variety over a finite field; deterministic algorithm; characteristic polynomial of the Frobenius endomorphism; Jacobian varieties; rational points; hyperelliptic curves; primality test; complexity analysis L.M. Adleman and M.-D. Huang, Counting rational points on curves and Abelian varieties over finite fields , %in Algorithmic number theory ANTS-II, Lect. Notes Comp. Sci. 1122 (1996), 1-16%, Berlin (Germany), 1996.%Springer-Verlag.
| 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors variety over a finite field; Tate's conjectures; Picard number; Brauer group; Néron-Severi group; special values of the zeta function Suwa, Noriyuki and Yui, Noriko, Arithmetic of certain algebraic surfaces over finite fields, Number Theory ({N}ew {Y}ork, 1985/1988), Lecture Notes in Math., 1383, 186-256, (1989), Springer, Berlin | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic systems of effective divisors; correspondences on a curve C. Ciliberto--F. Ghione,Serie algebriche di divisori su una curva e su una superficie, Ann. Mat. Pura Appl.,136 (1984), pp. 329--353. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors affine Lie algebras; abelian varieties; modular invariant; partition function; rational conformal field theory; Jacobian of a Fermat curve; triangulated surfaces; Riemann surface M. Bauer, A. Coste, C. Itzykson and P. Ruelle, ''Comments on the links between SU(3) modular invariants, simple factors in the Jacobian of Fermat curves, and rational triangular billiards,'' J. Geom. Phys. 22 (1997), 134--189. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors divisors of higher rank on a curve; \(r\)-divisor; Tamagawa number; Betti numbers of the moduli spaces of stable vector bundles Ghione F and Letizia M, Effective divisors of higher rank on a curve and the Siegel formula,Composite Math. 83 (1992) 147--159 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard group of a complex quotient variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors height of a moduli variety of semi-stable sheaves; generalized Beilinson spectral sequence; exceptional bundles J.-M. Drézet, Fibrés exceptionnels et variétés de modules de faisceaux semi-stables sur \(\mb{P}_2(\mb{C})\), J. Reine Angew. Math. 380 (1987), 14--58. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors local symbol(s); tame symbol; Contou-Carrère symbol; local Abel- Jacobi morphism; universal Witt bivectors; cartier duality; local Jacobian; relative formal curve; Witt residues; local relative class field theory; Rosenlicht Jacobian Contou-Carrère, C., Rend. Semin. Mat. Univ. Padova, 130, 1-106, (2013) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli space of principally polarized abelian varieties; moduli space of smooth algebraically irreducible curves; Jacobi map; Jacobian of the curve; the Novikov's conjecture; trisecant lines; Kummer variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curve over non-archimedean field; curve over a global field; admissible pairing of divisors on a curve; intersection theory; admissible metrics; global admissible pairing; Arakelov dualizing sheaf; Bogomolov conjecture S. Zhang, Admissible pairing on a curve, Invent. Math. 112 (1993), 171-193. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors system of polynomial equations; Newton polytope; sup-convolution; mixed integral; toric variety over a curve; mixed degree; Chow weight Philippon, A refinement of the Bernštein-Kušnirenko estimate, Adv. Math. 218 pp 1370-- (2008) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors semigroup of values of a plane curve singularity with several branches; relative maximals; absolute maximals; maximal contact of higher genus; equisingularity type Félix Delgado de la Mata, ``The semigroup of values of a curve singularity with several branches'', Manuscr. Math.59 (1987) no. 3, p. 347-374 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors group law on the Jacobian of a curve of genus 2; Mordell-Weil rank -, Arithmetic of curves of genus \( 2\), Number Theory and Applications , Kluwer, 1989. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors elliptic curves; cryptosystems; discrete logarithm; group of rational points; elliptic curve over a finite field; practical implementations; algorithms; running times R. Harasawa, J. Shikata, J. Suzuki, H. Imai, Comparing the MOV and FR reductions in elliptic curve cryptography, in: Advances in Cryptology--Eurocrypt '99, Lecture Notes in Computer Science, Vol. 1592, Springer, Berlin, 1999, pp. 190--205. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Kummer surface; Jacobian of genus 2 curve; twist; Brauer-Manin obstruction | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Weierstrass point; Weierstrass semigroup; smooth plane curve; double covering of a curve Komeda, J.; Kim, S.J., The Weierstrass semigroups on the quotient curve of a plane curve of degree \(###\)7 by an involution, J. Algebra, 322, 137-152, (2009) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors minimal rational curve; variety of minimal rational tangents; analytic continuation Mok, N.: Recognizing certain rational homogeneous manifolds of Picard number 1 from their varieties of minimal rational tangents. In: \textit{Third International Congress of Chinese Mathematicians. Part 1, 2, AMS/IP Stud. Adv. Math., 42, pt. 1, vol. 2, A. Math. Soc., Providence, RI}, pp. 41-61 (2008) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors cyclic covering of a hyperelliptic curve; isogenous to the product of two Jacobians | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors compactifications for the relative Jacobian; Poincaré sheaf; étale base change; theta functions; family of reduced curves Busonero, S.: Compactified Picard schemes and Abel maps for singular curves, PhD thesis, Sapienza Università di Roma (2008) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors higher discriminants; multiplicity of the discriminant of a line bundle; Chern classes; cotangent bundle; Segre classes of the jacobian scheme P. Aluffi and F. Cukierman, Manuscripta Math., 78, 245--258 (1993); M. Chardin, J. Pure Appl. Algebra, 101, 129--138 (1995); L. Ducos, J. Pure Appl. Algebra, 145, 149--163 (2000); L. Busé and C. D'Andrea, C. R. Math. Acad. Sci. Paris, 338, 287--290 (2004); C. D' Andrea, T. Krick, and A. Szanto, J. Algebra, 302, 16--36 (2006); arXiv:math/0501281v3 (2005). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors bitangent; dual of projective varieties; characteristic 2; ordinary varieties; rank of a projective variety Ballico E.: On the dual of projective varieties. Canad. Math. Bull. 34, 433--439 (1991) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors normal generation of line bundles; normal presentation of line bundles on a smooth curve; hyperelliptic curves; degree; embedding Lange H., Martens G.: Normal generation and presentation of line bundles of low degree on curves. J. Reine. Angew 356, 1--18 (1985) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Demazure models; fan; action of the Galois group; complete variety over a nonclosed field | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors hyperplane section of a local complete intersection variety; cone; normal bundle; Grassmannian | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors difference field; abelian variety; theory ACFA; group definable in a model; model theoretic stability; 1-basedness; Manin-Mumford conjecture; model companion of the theory of fields with an automorphism Z. Chatzidakis, ''Groups definable in ACFA,'' in Algebraic Model Theory, Dordrecht: Kluwer Acad. Publ., 1997, vol. 496, pp. 25-52. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors extension class of a vector bundle; torsion freeness; infinitesimal Torelli problem; canonical map; holomorphic forms; Albanese variety; families of varieties; generic Torelli problem | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(u\)-invariant; \(p\)-adic field; smooth projective curve; Brauer group; norm group of a quadric D. W. Hoffmann andJ. Van Geel, Zeroes and norm groups of quadratic forms over function fields in one variable over a local non-dyadic field,J. Ramanujan Math. Soc. 13 (1998), 85--110. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard 1-motives; class groups; models of relative curves; Galois coverings; equivariant \(L\)-functions; Galois module structure; Fitting ideals | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors plane geometry in characteristic \(p\); dual of a smooth curve; Gauss map Homma M. (1993). On duals of smooth plane curves. Proc. Amer. Math. Soc. 118(3): 785--790 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors dual graph of a semistable curve; generic Torelli theorem; irrationality of the general cubic 3-fold | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors character formula; basic classical Lie superalgebra; cohomology of a generalized supergrassmannian; Borel-Weil-Bott theory; Euler characteristic; weight diagram C. Gruson, V. Serganova, \textit{Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras}, Proc. Lond. Math. Soc. (3) 101 (2010), no. 3, 852-892. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors conjecture of Beilinson and Bloch; rank of the Griffiths group; smooth projective variety over a number field; order of vanishing of an L-function; elliptic curves J. Buhler, C. Schoen, and J. Top, ''Cycles, \(L\)-functions and triple products of elliptic curves,'' J. reine angew. Math., vol. 492, pp. 93-133, 1997. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors zeta functions; Picard modular surfaces; \(L\)-functions; automorphic representations; Shimura variety; Tannakian category of motives; Frobenius operator; conjecture of Langlands and Rapoport J. S. Milne, The points on a Shimura variety modulo a prime of good reduction, The Zeta Functions of Picard Modular Surfaces, University Montréal, Montreal (1992), 151-253. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors endomorphisms; polarized abelian variety; irreducible curve; Jacobian; geometric genus Debarre O. (1994). Degrees of curves in Abelian varieties. Bull. Soc. Math. France 122(3):343--361 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors multiplication by the class of a special Schubert variety; integral cohomology ring of the flag manifold; Pieri formual; Bruhat order Frank Sottile, Pieri's formula for flag manifolds and Schubert polynomials, Ann. Inst. Fourier (Grenoble) 46 (1996), no. 1, 89-110 (English, with English and French summaries). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Tate constant; hypergeometric differential equation; Legendre family of elliptic curves; Tate curve; Picard-Fuchs equation; Hasse-Witt matrix; formal group | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(SK_ 0\); \(SK_ 1\); coordinate ring of a projective variety; Pic; Witt vectors; K-theory transfer map B.H. Dayton and C.A. Weibel, On the naturality of Pic, SK0 and SK1, to appear. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli space of curves and abelian varieties; geodesics; Prym locus; Jacobian locus; generalized Prym varieties; admissible coverings | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors linearization; morphisms of algebraic stacks; Picard group; torsors; moduli stack on an algebraic curve Laszlo Y., Linearization of group stack actions and the Picard group of the moduli of SLr/{\(\mu\)}s-bundles on a curve, Bull. Soc. Math. France, 1997, 125(4), 529--545 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Brauer group of a toric variety; finite distributive lattice; Brauer group functor | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curve; genus; symmetric product; Néron-Severi group; slope of a divisor Kouvidakis, A.: Divisors on symmetric products of curves. Trans. Am. Math. Soc. 337, 117--128 (1993) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors affine cone over a curve; versal deformation of cones; Wahl's Gaussian map; smoothing components; infinitesimal deformations Stevens, J.: Deformations of cones over hyperelliptic curves. J. reine angew. Math. 473, 87-120 (1996) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors cohomology classes defined by automorphic forms; motives; cohomology of a Shimura variety; arithmetic Hodge structures M. Harris, Automorphic forms and the cohomology of vector bundles on Shimura varieties , Automorphic forms, Shimura varieties, and \(L\)-functions, Vol. II (Ann Arbor, MI, 1988) eds. L. Clozel and J. S. Miline, Perspect. Math., vol. 11, Academic Press, Boston, MA, 1990, pp. 41-91. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Albanese variety; algebraic cycles; second cohomology group of a surface with prescribed singularities; curves on surfaces; effective divisor; 1- motive; periods | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors monad of a curve; resolution of the normalized coordinate ring; degree; low genus; smoothing Walter, CH, Curves in \(\mathbb{P}^r\) with the expected monad, J. Algebr. Geom., 4, 301-320, (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curve on a \(K3\) surface; curves of high genus; Brill-Noether-Petri condition; linear series; surjectivity of the Wahl map Voisin, C. : '' Sur l'application de Wahl des courbes satisfaisant la condition de Brill-Noether-Petri '', Acta Math. 168 (1992) 249-272. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(p\)-torsion of the Jacobian variety; Galois module structure | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors p-torsion of class groups; number of points of Jacobian; number of points of algebraic curve over finite field; Kloosterman sum; isogeny decomposition of the Jacobians van der Geer, Gerard; van der Vlugt, Marcel, Kloosterman sums and the \textit{p}-torsion of certain Jacobians, Math. Ann., 290, 3, 549-563, (1991) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors automorphic forms; Dolbeault cohomology; unitary groups; Picard modular surfaces; cohomology groups; coherent sheaves; Griffiths-Schmid variety; anisotropic form of the unitary group SU(2,1); coherent cohomology; automorphic representations Carayol, H., Quelques relations entre LES cohomologies des variétés de Shimura et celles de Griffiths-schmid (cas du groupe \(S U(2, 1)\)), Compos. Math., 121, 305-335, (2000) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors polar; class of plane curve; plane Jacobian conjecture | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors sheaf of relative differentials; tangent bundle; birational class; singular locus; blowing up; smooth schemes; jacobian ideals of embedded arithmetic schemes Villamayor, O.: On smoothness and blowing ups of arithmetical schemes. Math. Z. 225, 317-332 (1997) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors minimal free resolution of a canonically embedded curve; surface of general type; syzygies; fibration of curves; slope; Horikawa index; Clifford index K. Konno, Clifford index and the slope of fibered surfaces, J. Algebraic Geom. 8 (1999), no. 2, 207-220. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors toric Calabi-Yau; mirror curve; Gromov-Witten invariants; Eynard-Orantin recursion; Hodge integral; spectral curve of a matrix model Bouchard, V; Catuneanu, A; Marchal, O; Sułkowski, P, The remodeling conjecture and the Faber-pandharipande formula, Lett. Math. Phys., 103, 59-77, (2013) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors module of differentials of a curve; group of automorphisms; Grothendieck group; ramification module Kani, Ernst, The {G}alois-module structure of the space of holomorphic differentials of a curve, Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 367, 187-206, (1986) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors group actions; locally trivial action on a factorial variety; non-finitely generated ring of invariants Deveney J. K., Transformation Groups 2 pp 137-- (1997) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors jacobian variety; trisecants of the Kummer-Wirtinger variety; Schottky problem G. E. Welters, ''A criterion for Jacobi varieties,'' Ann. of Math., vol. 120, iss. 3, pp. 497-504, 1984. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors group presentation; representation variety; dimension of a variety; rational variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors cylindrical algebraic decomposition of a real algebraic plane curve; complexity ROY (M.-F.) , SZPIRGLAS (A.) . - Complexity of computations with real algebraic numbers , à paraître au Journal of Symbolic Computation. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Normal surface singularity; Lipman semigroup; Hilbert basis of a semigroup; toric variety; intersection matrix. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors complex multiplication; endomorphism ring of Jacobian; Fermat curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors affine ring of a plane algebraic curve; \(SK_ 1\); Mennicke symbols Krusemeyer M., Cubic curves. Comm. in Algebra 1 pp 51-- (1984) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors dimension; conjugacy class of a matrix; rank variety; rank function; partition of a non-negative integer | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors fundamental group; singular (quasi-projective) variety; pencil of hyperplane sections; relative loop; relative monodromy variation | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(K3\) surface; Severi variety; nodal curve; Hilbert scheme of nodal curves | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors reducible curve; canonical divisor; Weierstraß points of a general curve; ramification points Eisenbud, D. andHarris, J., The monodromy of Weierstrass points,Invent. Math. 90 (1987), 333--341. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Kummer surface of the Jacobian; fibering; covering; Prym variety Hoyt, W.: Elliptic fiberings of Kummer surfaces. Number theory, New York, 1985/1988, Lecture notes in math. 1383, 89-110 (1989) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors divisors; syzygies; resolutions; line bundle on a smooth complex projective variety; property \(N_p\) Rubei E.: A note on property N p . Manuscr. Math. 101, 449--455 (2000) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Hilbert function of a generic plane section of a reduced irreducible curve; uniform position; arithmetically Cohen-Macaulay curve; space curve Maggioni, R.; Ragusa, A., The Hilbert function of generic plane sections of curves of \(\mathbf{P}^3\), Invent. Math., 91, 2, 253-258, (1988) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors vector bundle on a compact complex manifold; \(c_ 1\)-sectional genus; classification theory of polarized surfaces; Jacobian varieties; blowing- up Fujita, T., Ample vector bundles of small \(c_{1}\)-sectional genera, J. Math. Kyoto Univ., 29, 1-16, (1989) | 0 |
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