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Picard variety of a curve; generalized Jacobian; relative Cartier divisors simple compact complex variety; meromorphic fibre space; semisimple reduction; Douady space; meromorphic image of a compact Kähler manifold FUJIKI (A.) . - Semi-simple reductions of compact complex varieties , Pub. Institut Élie Cartan, t. 8, 1983 , p. 79-133. MR 85m:32027 | Zbl 0562.32014 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors abelian variety; symmetric line bundles; ampleness of rational line bundles; Mordell conjecture; product theorem; products of a subvariety C. Faber , Geometric part of Faltings's proof , In: ''[EE]'', Chapitre IX, pp. 83 - 91 . MR 1289007 | Zbl 0811.14023 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors log abelian variety; log elliptic curve; generalized elliptic curve; modular curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors lattice polytopes; lattice volumes of faces; degree of the discriminant of a smooth projective toric variety; number of integral points | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Riemann hypothesis for a curve over a finite field; zeta function of a curve over a finite field; two-variable zeta function | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors secant variety; \(X\)-rank; tangential variety; join of two varieties; tangentially degenerate curve; strange curve E. Ballico, The b-secant variety of a smooth curve has a codimension 1 locally closed subset whose points have rank at least b + 1, Rivista Mat. Univ. Parma, 8 (2017), 345--351. arXiv: 1706.03633. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors plane curve; finite field; rational point; automorphism group of a curve Keel, S., M\(^{\mathrm c}\)Kernan, J.: Rational Curves on Quasi-Projective Surfaces. Memoirs of the American Mathematical Society, vol. 140(669). American Mathematical Society, Providence (1999) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Solution; surface of \(2^nd\) degree; plane; resulting curve; focal of a surface; circumscribed; quadric homofocal to another one | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors intermediate Jacobians of threefolds; Del Pezzo surfaces; generalized Prym varieties; intermediate Jacobian | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors deformation into a monomial curve; semigroup of values; multiplicity; algebroid curves Castellanos, J.: ''A relation between the sequence of multiplicities and the semigroup of values of an algebroid curve'', J.P.P.A. 43 (1986), 119--127 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors toroidal resolution of a plane curve; toric blowing ups; Puiseux pair M. Oka: Geometry of plane curves via toroidal resolution ; in Algebraic Geometry and Singularities (La Rábida, 1991), Progr. Math. 134 , Birkhäuser, Basel, 95-121, 1996. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors complex toric variety; invariant Cartier divisors; Weil divisors; Poincaré duality; fan; Betti numbers; integral cohomology DOI: 10.2748/tmj/1178225338 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors abelian variety; complex multiplication; order of a torsion point Van Mulbregt, P., \textit{torsion-points on low dimensional abelian varieties with complex multiplication}, \textit{p}-adic methods in number theory and algebraic geometry, 205-210, (1992), American Mathematical Society, Providence, RI | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors relative invariants of sheaves; Picard groups; Brauer groups; class groups Verschoren A., Relative Invariants of Sheaves (1986) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors elliptic plane curve; holomorphic self-maps; obstructions; invariants at singular points; ordinary singularities; backward orbit; invariant critical components; Julia set; invariant smooth cubics; elementary maps; dual of smooth cubic; Fermat cubic; tangent process; symmetries; Weierstrass' \(\sigma\) and \(\zeta\) functions; elliptic quartics with two singular points; Cassini quartic; quartics with a cusp and a node; mixed quartic; invariant cuspidal quartic [BD02]A. Bonifant and M. Dabija, \textit{Self-maps of }P 2\textit{with invariant elliptic curves}, in: Complex Manifolds and Hyperbolic Geometry (Guanajuato, 2001), Contemp. Math. 311, Amer. Math. Soc., Providence, RI, 2002, 1--25. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors subextremal curves; biliaison; spectrum of a curve; Rao function for curves Nollet S.: Subextremal curves. Manuscr. Math. 94(3), 303--317 (1997) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors theta divisor of Jacobian of smooth complex curve M. Teixidor i Bigas, For which Jacobi varieties is {\(\operatorname{Sing} \Theta\)} reducible? \textit{J. Reine Angew. Math.}\textbf{354} (1984), 141-149. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors theta-dual; cohomological support loci for the twisted ideal sheaves of an Abel-Prym curve; Prym variety; non-hyperelliptic curve; non-hyperelliptic curve S. Casalaina Martin, M. Lahoz, and F. Viviani, Cohomological support loci for Abel-Prym curves, Matematiche (Catania) 63 (2008), 205-222. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors logarithmic Kodaire dimension; Iitaka's fibration theorem; easy addition formula; birational automorphisms of a variety of log-general type Z.-H. Luo, An invariant approach to the theory of logarithmic Kodaira dimension of algebraic varieties . Bull. A.M.S. (N.S.)vol. 19, 1 (1988) 319-323. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors deficiency module; liaison; locally Cohen-Macaulay equidimensional curve; Hartshorne-Rao module; Hilbert scheme; variety of module structures | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors real variety; semi-algebraic set; geometric stability index; real spectrum of a ring; spaces of orderings Scheiderer, C.,Stability index of real varieties. Invent. Math.97 (1989), 467--483. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors singularity of a variety; regular holonomic \({\mathcal D}_ X\)-module; smooth complex variety; \(L^ 2\)-réseau; distribution D. Barlet and M. Kashiwara, Le réseau L2 d'un syst`eme holonome régulier, Invent. Math. 86 (1986), no. 1, 35-62. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors blow-up; blow-down; moduli spaces of vector bundles over a singular curve; Hilbert semistability; bundles with fixed determinant; Hecke transformation Huashi, Xia, Degenerations of moduli of stable bundles over algebraic curves, Compos. Math., 98, 305-330, (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors determinant of period integrals; motive of rank 1; tame symbol; determinant object; relative Chow group; motivic Picard group Takeshi Saito and Tomohide Terasoma, A determinant formula for period integrals, Proc. Japan Acad. Ser. A Math. Sci. 69 (1993), no. 5, 131 -- 135. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors automorphism of Fermat curve; endomorphism of jacobian | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors diameter of a plane complex algebraic curve; projective plane; degree Bogomolov, E.A. On the diameter of plane algebraic curves.Math. Res. Lett.,1, 95--98, (1994). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Pierre de Fermat; René Descartes; Leonhard Euler; affine space; barycenter; real affine space; Pasch's theorem; Euclidean space; metric space; Gram-Schmidt process; approximation by the law of least squares; Fourier approximation; Hermitian space; projective space; duality principle; Fano's theorem; projective quadric; Pascal's theorem; Brianchon's theorem; topology of projective real spaces; algebraic plane curves; Bezout's theorem; Hessian curve; Cramer's paradox; group of a cubic; rational algebraic plane curve; Taylor's formula for polynomials in one or more variables; Eisenstein's criterion; Euler's formula; fundamental theorem of algebra; Sylvester's theorem | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors torsors of finite commutative group schemes; local field; Fontaine method; rank of the Jacobian; Fermat curve; cyclic extensions | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors toric variety; Picard number; dominating family of curves; Euler-Jaczewski sequence; classification of projective bundle; morphism Occhetta, G; Wiśniewski, JA, On Euler-jaczewski sequence and remmert-Van de ven problem for toric varieties, Math. Z., 241, 35-44, (2002) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors a complex projective curve; moduli spaces of pairs; rationality; stable rationality Indranil, Biswas; Marina, Logares; Vicente, Munoz, Rationality of the moduli space of stable pairs over a complex curve, (Nonlinear analysis, Springer Optim. Appl., Vol. 68, (2012), Springer New York), 65-77 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors deformation of singularities; rank 4 quadrics problem; nonhyperelliptic curve; theta divisor in the jacobian R. Smith and R. Varley , Deformations of singular points on theta divisors , Theta Functions- Bowdoin 1987, Proceedings Symp. Pure Math. vol. 49, Part I, A.M.S., 1989, 571-579. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curve over a finite field; foundational theory of algebraic curves over an arbitrary basefield Vasquez, A. T.: Rational desingularization of a curve defined over a finite field. In: Chudnovsky, D. V. et al. (eds.). Number Theory: New York Seminar 1989--1990 Berlin, Heidelberg, New York: Springer 1991 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors non smooth generic fiber; Calabi-Yau threefolds; positive characteristics; Hodge spectral sequence; fibrations; product of an elliptic curve and a rational curve; Hodge duality Hirokado M. (2001). Calabi-Yau threefolds obtained as fiber products of elliptic and quasi-elliptic rational surfaces. J. Pure Appl. Algebra 162: 251--271 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors fundamental group of the complement of a plane algebraic curve; nodal algebraic curves; computer algorithm S. Yu. Orevkov, ''The fundamental group of the complement of a plane algebraic curve,''Mat. Sb. [Math. USSR-Sb.],137 (179), No. 2, 260--270 (1988). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors modular curve; modular unit; cuspidal class number; elliptic curve; Jacobian variety; torsion subgroup T. Takagi, The cuspidal class number formula for the modular curves \(X_{1}(2p)\), J. Math. Soc. Japan, 64 (2012), 23-85. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Swan conductor; wildness of ramification; Brauer group of a curve over a local field; Henselian discrete valuation fields Yamazaki T.: On Swan conductors for Brauer groups of curves over local fields. Proc. Amer. Math. Soc. 127, 1269-1274 (1999). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors maximal curves; genus; Hasse-Weil bound; Hermitian curve; Fermat curve; curves over a finite field; configurations; number of rational points | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors hyperplane sections of a curve; positive characteristic; trisecant line; postulation; index of regularity; monodromy groups Ballico, E.; Cossidente, A.: On the generic hyperplane section of curves in positive characteristic. J. pure appl. Algebra 102, 243-250 (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors cone over a plane curve; ruling of a cone; space curves; complete intersections David B. Jaffe, Smooth curves on a cone which pass through its vertex, Manuscripta Math. 73 (1991), no. 2, 187 -- 205. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard sheaves; polystability; moduli space of stable bundles; Jacobian Brambila-Paz L, Hidalgo-Solís L and Muciño-Raymondo J, On restrictions of the Picard bundle. Complex geometry of groups (Olmué, 1998) 49--56;Contemp. Math. 240;Am. Math. Soc. (Providence, RI) (1999) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors singularities; fundamental group of the complement of a plane curve; Alexander invariants A. Libgober, ''Alexander invariants of plane algebraic curves,'' In:Proc. Symp. Pure. Math., Vol. 40 (1983), pp. 29--45. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors hypersurface of compact complex manifold; defect of the topological Euler characteristic; linear system of divisors; multiplicity of the dual variety Parusiński A., Bull. London Math. Soc 23 pp 428-- (1991) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors ring of global differential operators on a rational projective curve Holland, M. P.; Stafford, J. T.: Differential operators on rational projective curves. J. algebra 147, 176-244 (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalized divisor; Cartier divisors; liaison; linkage Hartshorne, R.: Generalized divisors on Gorenstein schemes. In: Proceedings of Conference on Algebraic Geometry and Ring Theory in honor of Michael Artin, Part III (Antwerp, 1992), \textbf{8}, pp.~287-339 (1994) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalized Albanese variety; modulus for a surface H. Önsiper, Generalized albanese varieties for surfaces , Bull. Amer. Math. Soc. (N.S.) 17 (1987), no. 2, 331-332. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors abelian variety; Jacobian; Shimura curve; Torelli locus; Galois cover; period matrix | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors modular curve; cuspidal subgroup of the Jacobian; Atkin-Lehner involution; degeneracy maps Ling, S., On the Q-rational cuspidal subgroup and the component group of \(J_0(p^r)\), Israel J. Math., 99, 1, 29-54, (1997) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors units in a ring; affine algebraic variety; group of units; class group; Galois cohomology; étale cohomology DOI: 10.1142/S0219498814500650 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors dualizing sheaf; base component of the canonical system; 1-connected curve; effective divisor on a surface K. Konno and M. Mendes Lopes, The base components of the dualizing sheaf of a curve on a surface, Arch. Math. (Basel) 90 (2008), 395--400. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors smooth complete curve; principal bundle; stable rational variety; moduli variety of stable vector bundles Ballico E.: Stable rationality for the variety of vector bundles over an algebraic curve. J. Lond. Math. Soc. 30(1), 21--26 (1984) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors osculating flag on a projective curve; characteristic \(p\); order of contact [BR] Ballico E., Russo B.,On the general osculating flag to a projective curve in characteristic p, Comm. in Algebra (to appear). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Euler product; arithmetic surface; Jacobian zeta function; modular curve; survey; Dirichlet series; L-series of elliptic curves; conjecture of Birch and Swinnerton-Dyer; Hasse-Weil conjecture; analytic continuation; functional equation; Shimura-Taniyama conjecture; Serre's conjecture; modular representations | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard groups; moduli spaces of curves; Abel-Jacobi mapping; family of abelian varieties; symmetric line bundle; polarization; Jacobian fibration; theta bundle | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors survey; analytic cover of a torus; ultrametric analysis; infinitesimals; finite-dimensional algebra over algebraically closed fields; finite Morley rank; analytic methods; compact complex manifold; strongly minimal structure; Zariski-type structure; algebraic curve B. Zilber, On model theory, non-commutative geometry and physics, manuscript. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors plane curve; complement of a nodal curve in \(\mathbb{P}^ 2\); Zariski problem; abelianness of the fundamental group | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic cycle; type of a complete intersection; middle Picard number T.~Terasoma. Complete intersections with middle {P}icard number 1 defined over {\({\mathbf Q}\)}. {\em Math. Z.}, 189(2):289--296, 1985. https://doi.org/10.1007/BF01175050; zbl 0579.14006; MR0779223 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors canonical curve section; genus; Fano 3-folds; vector bundle; section of a homogeneous space S.~Mukai. Fano 3-folds. In {\em Complex projective geometry ({T}rieste, 1989/{B}ergen, 1989)}, volume 179 of {\em London Math. Soc. Lecture Note Ser.}, pages 255--263. Cambridge Univ. Press, Cambridge, 1992. Also \url{http://www.kurims.kyoto-u.ac.jp/~mukai/paper/Trieste.pdf}. zbl 0774.14037; MR1201387 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors general K3-surfaces in the 3-dimensional flag variety projective 2-space; group of automorphisms; orthochronous Lorentz group; Picard group J. Wehler, \(K\)3-surfaces with Picard number 2. Arch. Math. (Basel) 50(1), 73-82 (1988) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli of vector bundles on curves; theta divisors; generalized theta functions; Fourier-Mukai transform; non-abelian theta functions; pluri-theta line bundles; Verlinde bundles; Verlinde formula --. --. --. --., Verlinde bundles and generalized theta linear series , Trans. Amer. Math. Soc. 354 (2002), 1869--1898. JSTOR: | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors equisingular family of irreducible curve singularities; truncated \(S\)- arcs; Nash variety A. Nobile, On Nash theory of arc structure of singularities, Ann. Mat. Pura Appl. (4) 160 (1991), 129--146. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Bernstein-Kushnirenko theorem; semigroup of integral points; convex body; mixed volume; Alexandrov-Fenchel inequality; Brunn-Minkowski inequality; Hodge index theorem; intersection theory of Cartier divisors; Hilbert function Kaveh, K., Khovanskii, A.G.: Algebraic equations and convex bodies. In: Itenberg, I., Jöricke, B., Passare, M. (eds.) Perspectives in Analysis, Geometry, and Topology, on the Occasion of the 60th Birthday of Oleg Viro, Progress in Mathematics, vol. 296, pp. 263-282. Birkhäuser Verlag Ag (2012) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors characteristic \(p\); good reduction; constructing unramified coverings of the affine line; modular curves; Galois groups of unramified coverings of the affine line; Klein curve; Macbeath curve; big automorphism groups; Jacobian varieties | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalization of schemes; symmetric monoidal categories; Grothendieck sites; sheaves; quasi-coherent sheaves; Picard groups; relative Picard functor Banerjee, A., The relative Picard functor on schemes over a symmetric monoidal category, Bull. Sci. Math., 135, 4, 400-419, (2011) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors double affine Hecke algebra; Jones polynomials; HOMFLY-PT polynomial; Khovanov-Rozansky homology; iterated torus knot; cabling; MacDonald polynomial; plane curve singularity; generalized Jacobian; Betti numbers; Puiseux expansion Cherednik, I.; Danilenko, I., DAHA and iterated torus knots, Algebr. Geom. Topol., 16, 843-898, (2016) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors integrable Hamiltonian system; Clebsch top; Kummer surfaces; K3 surfaces; Jacobian; hyperelliptic curve of genus | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors unipotent representation; Jacobian; local class field theory; Tate module; exponent of Artin character; maximal unramified extension; semi-stable reduction; modular curve Krir, M.: Degré d'une extension de \({\mathbb{Q}}_p^{\mathrm nr}\) sur laquelle \(J_0(N)\) est semi-stable. Ann. Inst. Fourier (Grenoble) \textbf{46}(2), 279-291 (1996) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors seminormality; poset; Cohen-Macaulay rings; section ring of a sheaf; generalized face ring [Y2] Yuzvinsky, S.: Flasque sheaves on posets and Cohen-Macaulay unions of regular varieties. Adv. Math.73, 24--42 (1989) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors jacobian varieties of complete non-singular curves; Picard varieties | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic curve; finite field; linear code; zeta function; moduli space; Jacobian variety van der Geer G.: Coding theory and algebraic curves over finite fields: a survey and questions. In: Applications of Algebraic Geometry to Coding Theory, Physics and Computation, NATO Sci. Ser. II Math. Phys. Chem., vol. 36, pp. 139--159. Kluwer, Dordrecht (2001). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors endomorphisms of abelian variety; height pairing associated to a polarization Valerio Talamanca, A note on height pairings on polarized abelian varieties, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat.10 (1999), p. 57-60 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors hyperelliptic curve; non-hyperelliptic curve; Jacobian varieties; eta function; theta functions; isogeny; Kummer variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Prym variety; isotypical decomposition of the Jacobian | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors characteristic \(p\); semistability condition; vector spaces over a non-archimedean field; \(p\)-adic period domains; generalized flag varieties; rigid-analytic geometry; stratification of the flag varieties; non-archimedean uniformization theorems of Shimura varieties Michael Rapoport, Period domains over finite and local fields, Algebraic geometry --- Santa Cruz 1995, Proc. Sympos. Pure Math., vol. 62, Amer. Math. Soc., Providence, RI, 1997, pp. 361 -- 381. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors bimodule; homotopy groups; Brauer group of equivalence classes of Azumaya algebras; Picard group of isomorphism classes of invertible modules; reduced simplicial Kan-complex; Azumaya complex of a commutative ring J W Duskin, The Azumaya complex of a commutative ring (editor F Borceux), Lecture Notes in Math. 1348, Springer (1988) 107 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors endomorphism ring of a Kronecker module; locally planar hyperelliptic curve; minimal number of generators Mckinnon, D.; Roth, M.: Curves arising from endomorphism rings of Kronecker modules, Rocky mountain J. Math. 37, 879-891 (2007) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors fundamental group of the complement of a curve; torus knot | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors variety of algebras; free algebra; algebraic geometry in a variety; logical geometry in a variety; geometrically equivalent algebras; logically equivalent algebras | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(F\)-theory; superpotential; Calabi-Yau 4-fold; divisors; elliptic fibration; toric variety; Fano 3-fold; transitions; smoothings of the singular model; Hodge numbers A. Grassi, \textit{Divisors on elliptic Calabi-Yau} 4\textit{-folds and the superpotential in F-theory, I}, alg-geom/9704008. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors topological invariants of maps; zeta-function; monodromy of a plane algebraic curve; Poincaré series Campillo, A.; Delgado, F.; Gusein-Zade, S. M.: On the monodromy at infinity of a plane curve and the Poincaré series of its coordinate ring, Topology 8, No. 2, 1839-1842 (1998) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors toric action; cohomology rings of invariant subvarieties; holomorphic vector field; cohomology algebra of a Schubert variety Akyıldız E. , Carrell J.B. , Lieberman D.I. , Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties , Compositio Math. 57 ( 2 ) ( 1986 ) 237 - 248 , MR827353 (87j:32086). Numdam | Zbl 0613.14035 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors plane algebraic curves; characteristic variety; fundamental group of the complement to the curve A. Libgober, Characteristic varieties of algebraic curves, Applications of algebraic geometry to coding theory, physics and computation (Eilat, 2001) NATO Sci. Ser. II Math. Phys. Chem., vol. 36, Kluwer Acad. Publ., Dordrecht, 2001, pp. 215 -- 254. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors threefolds; pencil of del Pezzo surfaces; exceptional curves; Prym-Tyurin variety; intermediate Jacobian; Chow group Kanev V., Intermediate Jacobians and Chow groups of threefolds with a pencil of del Pezzo surfaces, Ann. Mat. Pura Appl., 1989, 154, 13--48 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors branch of a complex algebraic variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Torelli's theorem; birational equivalence class of a curve; symmetric product Z. Ran, On a theorem of Martens, Rend. Sem. Mat. Univ. Politec. Torino, \textbf{44} (1986), 287-291. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Prym-Tyurin abelian variety; Jacobian \(J(C)\) for curve \(C\); principal polarization on \(J(C)\) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors simply connected curve; zero locus of a primitive polynomial | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors duality; bounded complexes of sheafs; finite CW-complex; strata of a stratification; cohomology sheafs; Serre functor; complex toric variety Kapranov, M, Mutations and Serre functors in constructible sheaves, Funct. Anal. Appl., 24, 155-156, (1990) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors nonrationality of the general Enriques variety; standard model; intermediate Jacobian Эндрюшка, С. Ю., Нерациональность общего многообразия энриквеса, Матем. сб., 123(165), 2, 269-275, (1984) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors finite automorphism groups of compact topological surfaces; Riemann surfaces; Klein surfaces; real forms of a given complex algebraic curve; connected components of the fixed point sets of reflections; antiholomorphic automorphisms; complexified real (M-1)-curves Natanzon, S. M.: Finite groups of homeomorphisms of surfaces, and real forms of complex algebraic curves. (Russian). Trudy Moskov. Mat. Obshch. 51 (1988), 3-53, 258. Translation in Trans. Moscow Math. Soc. (1989), 1-51. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors convex hull of a curved object; algebraic curve C. Bajaj and M.-S. Kim: \(Convex Hulls of Objects Bounded by Algebraic Curves\). Algorithmica 6(1991), pp. 533-553. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors multiplicity; local cohomology modules; generalized Cohen-Macaulay ideal; minimum number of generators; embedding dimensions; arithmetically Buchsbaum curve Ngô Viá»\?t Trung, Bounds for the minimum numbers of generators of generalized Cohen-Macaulay ideals, J. Algebra 90 (1984), no. 1, 1 -- 9. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors reductive connected algebraic group; unipotent element; irreducible components; variety of Borel subgroups; irreducible representations; permutation representation; Levi decomposition; irreducible cuspidal representation; Coxeter group; generalized Springer correspondence; special orthogonal groups; intersection cohomology G. Lusztig, Intersection cohomology complexes on a reductive group, Invent. Math. 75 (1984), no. 2, 205-272. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors group action; spherical variety; line bundles; orbits of a Borel subgroup Brion, Michel, Spherical varieties, 2 (Zürich, 1994), pp. 753-760. Birkhäuser, Basel (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors equivariant cohomology; real algebraic variety; étale cohomology; Witt group of a real Enriques surface V. A. Krasnov, ''Étale and equivariant cohomology of a real algebraic variety,'',Izv. Ross. Akad. Nauk Ser. Mat., [Russian Acad. Sci. Izv. Math.] (to appear)''. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard group; Prym variety; curve with an involution; Brill-Noether theory V. Kanev,special line bundles on curves with involution, Math. Z.222 (1996), 213--229. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors endomorphism ring of Jacobian; Fermat curve; complex multiplication Hai Lim, C.: The Jacobian of a cyclic quotient of the Fermat curve. Nagoya Math. J. 125, 73--92 (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors maximum for the dimension of linear series of given degree on a smooth plane curve of degree d C. Ciliberto , Alcune applicazioni di un classico procedimento di Castelnuovo , Sem. di variabili Complesse, Univ. di Bologna, 1982-83,17-43. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors periods of a transcendental moduli problem; moduli problem of principally polarized abelian surfaces; periods; root systems; algebraic torus; cross ratio variety Sekiguchi, J.: Cross-ratio varieties for root systems. Kyushu J. Math. 48, 123--168 (1994) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors ordinary singularities of curves; coordinate ring of a curve; Hilbert function; Cohen-Macaulay type; K-theory Gupta, S. K.; Roberts, L. G., Cartesian squares and ordinary singularities of curves, \textit{Commun. Algebra}, 11, 2, 127-182, (1983) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Shimura variety associated to an indefinite quaternion algebra over a totally real field; semi-simple local zeta function; automorphic L- functions; purity of the monodromy filtration; local factor Rapoport, M.: On the local zeta function of quaternionic Shimura varieties with bad reduction. Math. Ann. 279, 673--697 (1988) | 0 |
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