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Picard variety of a curve; generalized Jacobian; relative Cartier divisors Prym map; Torelli problem for Prym varieties; double covering of a general curve; theta divisor; Petri's theorem Debarre, O., Sur le problème de Torelli pour LES variétés de Prym, Amer. J. Math., 111, 1, 111-134, (1989) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors modular curve; Jacobian variety; rational point; torsion subgroup; cuspidal class number; modular unit | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors hyperelliptic curves; \(p\)-adic field; index of a curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors finite field; elliptic curve; Jacobian of curves Schmoyer, S. L., The triviality and nontriviality of Tate-lichtenbaum self-pairings on Jacobians of curves, (2006) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Kodaira divisor; smooth irreducible curve on a Del Pezzo surface; gonality; linear system; Clifford index; syzygies of curves Pareschi, G., Exceptional linear systems on curves on del Pezzo surfaces, Math. Ann., 291, 17-38, (1991) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard-type theorems; degeneracy of holomorphic mappings at a point; logarithmic differentials; divisor with normal intersection Babets, V. A.: Picard-type theorems for holomorphic mappings, Siberian math. J. 25, 195-200 (1984) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Arakelov intersection theory; Arakelov intersection pairing; divisors on a regular curve; metrized line bundles; Riemann-Roch theorem; adjunction formula; Hodge index theorem Chinburg, T.: An introduction to Arakelov intersection theory. In: Cornell, G., Silverman, J.H. (eds.) Arithmetic Geometry, pp. 289--307. Springer, New York (1986) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian variety; Prym variety; coverings of curves DOI: 10.1016/j.jalgebra.2007.01.001 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic families of curves; Faltings' theorem; Mordell conjecture; projective variety; Szpiro constants; elliptic curve De Diego, Teresa: Théorème de faltings (conjecture de Mordell) pour LES familles algébriques de courbes, C. R. Acad. sci. Paris sér. I math. 323, No. 2, 175-178 (1996) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebroid curves; Puiseux pairs; differential module of a curve; one-dimensional local rings; local ring of singular point of a curve; torsion submodule; Fitting ideal Carbonne, P.: Sur LES différentielles de torsion, J. algebra 202, 367-403 (1998) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generators; relations; Picard curve; S(\(\Gamma \) ,1); S(\(\Gamma \) (\(\sqrt{-3}),1)\); algebra of modular forms Holzapfel, R.-P. , On the nebentypus of Picard modular forms . To appear in Math. Nach. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors jacobianness of abelian variety; rational Gauss map for a principally polarized abelian variety Muñoz Porras, J.M.: Characterization of Jacobian varieties in arbitrary characteristic. Compos. Math. (1987) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors space curve; nodal plane curve; general projection; postulation of a finite subset L. Chiantini - N. Chiarli - S. Greco, Halphen conditions and postulation of nodes, Adv. Geom. 5 (2005), 237--264 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Fermat last theorem; survey; Fermat's equation; elliptic curve; conjecture of Szpiro; abc-conjecture; Serre's conjecture; existence of a cusp form of weight 2 for \(\Gamma _ 0(2)\); Taniyama-Weil conjecture; theorems of Mazur and Ribet; modular representation Oesterlé ( J. ) .- Nouvelles approches du ''théorème'' de Fermat , Séminaire Bourbaki n^\circ 694 (1987-88). Astérisque 161 -162, 165 - 186 ( 1988 ) Numdam | MR 992208 | Zbl 0668.10024 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Weierstrass semigroup of a point; \(K3\) surface; weighted projective plane; numerical semigroup; double cover of a curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Grassmannian; Schubert variety; Grassmann code; Schubert code; minimum distance of a code; minimum weight codewords Ghorpade, SR; Singh, P., Minimum distance and the minimum weight codewords of Schubert codes, Finite Fields Appl., 49, 1-28, (2018) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curve with bad reduction; complete local field; uniformization of the Jacobian; uniformizations of abelian varieties Fresnel, J.; Van Der Put, M.: Uniformisation des variétés abéliennes. Ann. fac. Sci. univ. Toulouse 6, 7-42 (1994) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(K3\)-surface; number of conics tangent to a general plane curve; number of rational curves | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors minimal resolution of homogeneous ideal; postulation; generic hyperplane sections of a curve; lifting lemma; complete intersection Strano, R.: On the hyperplane sections of curves. In: Proceedings of the Geometry Conference (Milan and Gargnano, 1987). Rend. Sem. Mat. Fis. Milano Vol. 57, pp. 125--134 (1989) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors abelian variety; elliptic curve; Hasse invariant; Artin effect; infiniteness of Tate-Shafarevich group; quasi-global field; potentially good reduction; Neron minimal models O.N. Vvedenskiĭ : The Artin effect in elliptic curves I . Izv. Akad. Nauk SSSR 43 (1979) = Math. USSR Izv. 15 (1980) 277-288. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors étale site of algebraic variety; generalized étale cohomology; presheaves of spectra; closed model category; Lichtenbaum-Quillen conjecture Jardine, J. F., Generalized Étale Cohomology Theories, Progress in Mathematics, vol. 146, (1997), Birkhäuser Verlag: Birkhäuser Verlag Basel | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors 2\(\theta\)-linear system on an abelian variety; semistable vector bundles; of rank 2; projective nonsingular curve; genus M. S. Narasimhan and S. Ramanan, 2\?-linear systems on abelian varieties, Vector bundles on algebraic varieties (Bombay, 1984) Tata Inst. Fund. Res. Stud. Math., vol. 11, Tata Inst. Fund. Res., Bombay, 1987, pp. 415 -- 427. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors mixed Hodge theory; homotopy of a complex algebraic variety; neighborhood of a subvariety; links of isolated singular points; cup product; decomposition theorem of intersection homology Hain, R.M. and Durfee, A.: Mixed Hodge structures on the homotopy of links. Math. Ann.,280, 69--83 (1988) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Betti number of an abelian covering of a \(CW\)-complex; cyclotomic coordinates; fundamental group; complement to an algebraic curve; link; Alexander polynomials of plane algebraic curves Libgober A.: On the homology of finite abelian coverings. Topol. Appl. 43(2), 157--166 (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors quadric surface fibration over a curve; discriminant curve; space of sections; rank-2 vector bundles over curves Hassett B., Tschinkel Yu., Spaces of sections of quadric surface fibrations over curves, In: Compact Moduli Spaces and Vector Bundles, Contemp. Math., 564, American Mathematical Society, Providence, 2012, 227--249 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors resolution of singularities; resolution of a toric variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors patching; local-global principle; two-dimensional complete domain; function field of a curve; quadratic form; Witt ring; \(u\)-invariant; Brauer group; period-index problem Harbater, D.; Hartmann, J.; Krashen, D., \textit{refinements to patching and applications to field invariants}, Int. Math. Res. Not. IMRN, 2015, 10399-10450, (2015) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors cyclic layer of a finite Galois extension; relative Brauer group | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors stable cohomology; geometry of a generic point; Galois group of the algebraic closure of the field of rational functions on the variety; étale cohomology Bogomolov F.A., Stable cohomology of groups and algebraic varieties, Russian Acad. Sci. Sb. Math., 1993, 76(1), 1--21 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Cayley-Chow variety; cycles; degree of a subvariety; type; indices; characteristic number L. Guerra , Degrees of Cayley-Chow varieties , Math. Nachr. , 171 ( 1995 ), pp. 165 - 176 . MR 1316357 | Zbl 0838.14003 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors mirror variety; mirror symmetry; generalized hypergeometric series; Calabi-Yau complete intersections; toric varieties; quantum variation of Hodge structures; differential system; Calabi-Yau compactification V. Batyrev and D. Van Straten, Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties, Universität Essen report, in preparation | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors center symmetry set; affine algebraic variety; family of algebraic sets; bifurcation set of a polynomial mapping | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors modular curve; modular unit; cuspidal class number; elliptic curve; Jacobian variety; torsion subgroup | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Brill Noether loci; Prym varieties; cover of a smooth algebraic curve; isotropic subbundles De Concini, C.; Pragacz, P.: On the class of brill--Noether loci for Prym varieties. Math. ann. 302, 687-697 (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors very ampleness of a line bundle on a curve Catanese, F., Franciosi, M.: Divisors of small genus on algebraic surfaces and projective embeddings. In: Proceedings of the conference ''Hirzebruch 65'', Tel Aviv 1993, Contemp. Math., A.M.S. (1994), subseries 'Israel Mathematical Conference Proceedings', vol. 9, pp. 109--140 (1996) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors deformations of a ruled surface; deformations of a uniruled variety; quasi-ruling Levine, M.: The stability of certain classes of uni-ruled varieties. Comp. Math. (to appear) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors number of points of complete intersection of a curve; Hilbert function; intersection; Cayley-Bacharach theorem Sodhi, A.: On the intersection of a hypersurface with a finite set of points in pn. J. pure appl. Algebra 74, 85-94 (1991) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors real algebraic curve; real abelian variety; real Jacobian | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors affine scheme; commutative nilpotent algebra of class 3; component of a variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors cotangent complex; deformations of a hyperplane section; half-canonical ring of a hyperelliptic curve; Horikawa surfaces; canonical ring of surfaces; Maple program; canonical surface of general type Miles Reid, Infinitesimal view of extending a hyperplane section --- deformation theory and computer algebra, Algebraic geometry (L'Aquila, 1988) Lecture Notes in Math., vol. 1417, Springer, Berlin, 1990, pp. 214 -- 286. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Laplace equation; osculating variety of a projective variety Ilardi, G, Togliatti systems, Osaka J. Math., 43, 1-12, (2006) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Singularities; elliptic functions; modular curves; characteristic of a curve; modular equations | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors super Riemann surfaces; dressed moduli spaces; Picard group; Picard functor; Picard variety; abelian conformal field theory; vertex operator algebra; Heisenberg algebra; conformal blocks; theta functions of higher level; infinite-dimensional Lie algebras; supercurves; Beilinson-Bernstein localization; Fock representation | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors rational parametrization; singularities of an algebraic curve; multiplicity of a point; ordinary and non-ordinary singularities; T-function; fiber function | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Galois group; elliptic curve; hyperelliptic curve; Jacobian variety; Tate module Yelton, J, Images of \(2\)-adic representations associated to hyperelliptic Jacobians, J. Number Theory, 151, 7-17, (2015) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors space of real points; number of components; number of loops; real curve; Picard group; Brauer group; étale cohomology groups C. Pedrini and C. Weibel, Invariants of real curves , préprint, 1991. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors fundamental group of a curve; Abhyankar conjecture; affine line; positive characteristic; Artin-Schreier covers Gille P. , Le groupe fondamental sauvage d'une courbe affine , in: Bost J.-B. , Loeser F. , Raynaud M. (Eds.), Courbe semi-stable et groupe fondamental en géométrie algébrique , Progress in Math. , 187 , Birkhäuser , 2000 , pp. 217 - 230 . MR 1768103 | Zbl 0978.14034 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors vector bundle on a complete smooth algebraic curve; flag; generalized vector bundles; Harder-Narasimhan-filtration Hoffmann, N.; Jahnel, J.; Stuhler, U., Generalized vector bundles on curves, Journal für die Reine und Angewandte Mathematik, 495, 35-60, (1998) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors fundamental points for a one-parameter system of n-dimensional linear subspaces; generalized biaxial space | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Fermat curve of exponent five; Jacobian; group of automorphisms; canonical isomorphism Lim, C. H.: The geometry of the Jacobian of the Fermat curve of exponent five. J. number theory 41, 102-115 (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors branches of a complex algebraic variety along a subvariety; local branches; global branches | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors decomposition of an algebraic variety; greatest common divisors of univariate polynomials; polynomial ideal theory M. Kalkbrener, \textit{A generalized Euclidean algorithm for computing triangular representations of algebraic varieties}, J. Symbolic Comput., 15 (1993), pp. 143--167. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Abel morphism; Jacobian; birational morphisms; Torelli theorem; Schottky problem; symmetric product of curve Porras, J. M. Muñoz: On the structure of the birational Abel morphism. Math. ann. 281, 1-6 (1988) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors reflexive polytope; lattice polytope; multiplicities of Picard numbers for reflexive polytopes; multiplicities of point numbers for reflexive polytopes; Newton polytope; mirror symmetry; toric variety; Calabi-Yau manifold; Calabi-Yau compactification Kreuzer, M., Skarke, H.: Classification of Reflexive Polyhedra in Three Dimensions, Advances in Theoretical and Mathematical Physics, 847--864 (1998) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian; group structure; distribution of divisors | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors affine space; linear variety; barycenter; simple ratio; theorem of Thales; theorem of Menelaus; theorem of Ceva; affinity; semi-affinity; affine group; similar affinities; invariance level; Jordan matrix; similar Euclidean motions; glide vector; glide modulus; index of a real symmetric matrix; helicoidal Euclidean motion; anti-rotation; glide reflection Reventós-Tarrida, A.: Affine maps, Euclidean motions and quadrics, Springer undergrad. Math. ser. (2011) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors ideal of the affine cone of a curve; free resolution Amasaki M., Publ. RIMS 19 pp 493-- (1983) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors noncommutative regular projective curve; noncommutative function field; Auslander-Reiten translation; Picard-shift; ghost group; maximal order over a scheme; ramification; Witt curve; noncommutative elliptic curve; Klein bottle; Fourier-Mukai partner; weighted curve; orbifold Euler characteristic; noncommutative orbifold; tubular curve; finite dimensional algebra; Beilinson theorem Kussin, Dirk, Weighted noncommutative regular projective curves, J. Noncommut. Geom., 10, 4, 1465-1540, (2016) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors real algebraic variety; split vector bundle; real form of a projective space Biswas, I.; Nagaraj, D. S.: Absolutely split real algebraic vector bundles over a real form of projective space, Bull. sci. Math. 131, 686-696 (2007) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors zeta function of Gorenstein ring; singular curve; Gorenstein curve; functional equation; number of rational points on the compactified Jacobian; Riemann hypotheses Karl-Otto Stöhr, Local and global zeta-functions of singular algebraic curves, J. Number Theory 71 (1998), no. 2, 172 -- 202. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Pic is a contracted functor; algebraic \(K\)-theory; Picard group of the Laurent polynomial ring Weibel C.: Pic is a contracted functor. Invent. Math. 103, 351--377 (1991) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curves; excess linear series; secant bundle; secant space to a curve; symmetric product of a curve \textsc{M. Aprodu and E. Sernesi,} Excess dimension for secant loci in symmetric products of curves, E. Collect. Math. (2016). 10.1007/s13348-016-0166-2. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors numerical semigroup; Weierstrass semigroup; double cover of a curve; curve of genus two Harui, T., Komeda, J., Ohbuchi, A.: The Weierstrass semigroups on double covers of genus two curves, preprint | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors splitting of vector bundles; vector bundle on a smooth projective curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curve over a global field; \(K_1\); local class field theory of curves; Galois cohomology; surfaces over finite fields Wayne Raskind, On \?\(_{1}\) of curves over global fields, Math. Ann. 288 (1990), no. 2, 179 -- 193. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Auslander-Reiten quiver; germ of a normal complex surface singularity; isomorphism classes of vector bundles; reflexive modules; reduction cycle; rational singularities; minimal-elliptic singularities; simply- elliptic singularites; torsion free modules over plane curve singularities Kahn, Reflexive Moduln auf einfach-elliptischen Flächensingularitäten, Dissertation (1988) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors smooth irreducible curve on a Del~Pezzo surface; linear system; Clifford index; syzygies of curves; Kodaira divisor; gonality Pareschi G. (1991). Exceptional linear systems on curves on Del Pezzo surfaces. Math. Ann. 291: 17--38 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors projectively toric varieties; equations of a toric variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors elliptic-hyperelliptic curves; n-th symmetric product of curve; Jacobian; asymptotic direction | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors canonical model of a given polynomial; peack reduction; irreducible algebraic curve; number of embeddings; automorphism Shpilrain V, Yu J-T. Embeddings of curves in the plane. J Algebra, 1999, 217: 668--678 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors decoding algorithm; geometric code; theta divisor; Jacobian variety; algebraic curve; Klein quartic | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors abelian surface; singluarities of curves; curves of low genus; isogeny; Jacobian variety; nonprimitive polarization | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors good reduction of a curve; Fontaine's rings; crystalline site; unipotent fundamental group F.~Andreatta, A.~Iovita, and M.~Kim, \emph{A \(p\)-adic non-abelian criterion for good reduction of curves}, Duke Math. J. \textbf{164} (2015), no.~13, 2597--2642. DOI 10.1215/00127094-3146817; zbl 1347.11051; MR3405595 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic fundamental group of a complete irreducible non-singular algebraic curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors abelian variety; Jacobian variety; Mordell-Weil rank; cyclic cover of the projective line; infinite field extension; idempotent relation DOI: 10.1006/jnth.2001.2692 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curve of genus three: moduli space; Weierstrass point; Cartier operator | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard variety; tetragonal curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors p-adic field; liftings; coverings of a curve over a finite field | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Hilbert sixteenth problem; construction of a real plane algebraical curve with prescribed; topology; small perturbations of singular points; construction of a real plane algebraical curve with prescribed topology Viro, O. Ya., \textit{gluing of plane real algebraic curves and constructions of curves of degrees 6 and 7}, Proc. int. conf. on topology, general and algebraic topology, and applications, Leningrad, 1982, 187-200, (1984), Springer, Berlin | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors canonical module of a monomial curve; minimal generating set; Cohen- Macaulayness; Gorenstein property DOI: 10.1080/00927878708823505 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors direct sum cancellation; quadratic order; Noetherian ring; torsionfree cancellation; regular integral domain; coordinate ring of a singular affine curve; quadratic orders; integral group rings DOI: 10.1016/0021-8693(84)90077-2 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors rank of the Jacobian matrix of a linear system of quadrics L. Degoli, Sur la caractéristique de la Jacobienne des systèmes linéaires de quadriques,Czechoslovak Math. J. 36 (1986), 476--484.Zbl 621: 14006 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Grothendieck standard conjecture of Lefschetz type; Kodaira-Spencer map; Jacobian variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors stable reduction theorem; action of inertia group; action of ramification group; vanishing cycles; geometrically connected curve; relative canonical differential Saito, T.: Vanishing cycles and differentials of curves over a discrete valuation ring. Adv. stud. Pure math. 12 (1987) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors divisors; floor of a divisor Maharaj, H; Matthews, GL; Pirsic, G, Riemann-Roch spaces of the Hermitian function field with applications to algebraic geometry codes and low-discrepancy sequences, J. Pure Appl. Algebra, 195, 261-280, (2005) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors computing the conductor of a reduced curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors singularities of mappings; Thom-Mather theory; nice dimensions; right-left equivalence; contact equivalence; stability; versal unfoldings; finite determinacy; vector fields and flows; local conical structure; Thom-Boardman singularities; topological stability; unstable map-germs; unipotent algebraic groups; critical space; discriminants; bifurcation sets; isosingular locus; logarithmic tangent space; logarithmic transversality; stable perturbations; disentanglement of a map; image Milnor numbers; discriminant Milnor numbers; free and almost free divisors; complete intersections; Fitting ideals; conductor ideals; multiple point spaces; knot theory; Reidemeister moves; rank condition; parameterised hypersurfaces; maximal Cohen-Macaulay modules; duality; Gorenstein rings; canonical module; triple points | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors semistable curve; moduli of curves; resolution of singularities; alteration; integral variety; monoidal transformations; semi-stable reduction theorem; multiplicity of intersection for two modules; Monsky-Washnitzer cohomology groups; monodromy actions on étale cohomology Berthelot, P., Altérations de variétés algébriques (d'après A.J. de jong), Séminaire Bourbaki, vol. 1995/96, Astérisque, 241, 273-311, (1997), Exp. No. 815, 5 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors abelian variety; Picard scheme; formal curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors connected scheme; elliptic curve; zero section; sheaf of relative homologies; weight filtration; logarithmic sheaf; elliptic polylogarithm; spectral sequence; regulator map; Beilinson's conjectures; Tate's normal form; elliptic Vandermonde functions; theta functions DOI: 10.1007/BF02362334 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Diophantine approximation; rational points on algebraic varieties; arithmetic algebraic geometry; Roth's theorem; nonvanishing lemma for polynomials in several variables; Roth's lemma; Dyson's lemma; Mordell conjecture; Faltings' theorem; finiteness of rational points; algebraic curve of genus greater than one; Vojta's generalization of Dyson's lemma; products of curves of arbitrary genus; Lang conjecture; Subspace Theorem; lower bound for the rational approximation to a hyperplane | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors torsionfree modules; finite Cohen-Macaulay type; complete local ring of a reduced curve singularity; finite CM type G.-M. Greuel and H. Knörrer, Einfache Kurvensingularitäten und torsionsfreie Moduln, Math. Ann. 270 (1985), no. 3, 417 -- 425 (German). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors complex curve; Riemann surface; theta function; Schottky problem; Jacobian variety; quartics; quintics | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors deformation; smoothability; singular Calabi-Yau threefolds; curve of singularities; Picard number Gross, M.: Primitive Calabi-Yau threefolds. J. Differ. Geom. \textbf{45}(2), 288-318 (1997). arXiv:alg-geom/9512002 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors powers of Jacobian of modular curve \(X_0(15)\) René Schoof, Semistable abelian varieties with good reduction outside 15, Manuscripta Math. 139 (2012), no. 1-2, 49 -- 70. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalized Jacobian problem; quotient of affine surfaces; Platonic fiber spaces; \(\mathbb{C}^*\)-fibration; étale endomorphism; automorphism Masuda, K.; Miyanishi, M.: Étale endomorphisms of algebraic surfaces with gm-actions. Math. ann. 319, No. 3, 493-516 (2001) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors plane geometry; excenters of a triangle; incenter of a triangle; curve of degree 4; Euler line | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Abelian integrals; Jacobian variety; Jacobi inversion problem; Hardy spaces of character-automorphic functions; hyperelliptic Riemann surfaces of Parreau-Widom type | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors coordinates of a given subvariety; dual variety; codimension; Segre varieties | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors strange curve; Terracini lemma; secant variety; number of secants; Segre classes M. Dale: ''Terracini's lemma and the secant variety of a curve'', Proc. London Math. Soc. (3), Vol. 49, (1984), pp. 329--339. | 0 |
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