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Picard variety of a curve; generalized Jacobian; relative Cartier divisors double quadric; Fano's threefolds; Picard group; Hilbert scheme; Albanese variety; Jacobian variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(\alpha\)-dot; Hilbert function; normal bundle of a curve Karen A. Chandler, Hilbert functions of dots in linear general position, Zero-dimensional schemes (Ravello, 1992) de Gruyter, Berlin, 1994, pp. 65 -- 79. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors rational surface; divisor; curves in a surface; number of moduli; plane curve; Castelnuovo's inequality; trigonal locus Castorena, A.; Ciliberto, C.: On a theorem of Castelnuovo and applications to moduli, Kyoto J. Math. 51, No. 3, 633-645 (2011) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Sagbi basis; Grassmann variety; Hankel variety; toric deformation of a variety G. Failla, \textit{Combinatorics of Hankel relations}, Ann. Acad. Rom. Sci. Ser. Math. Appl. 9 (2017) 2 (to appear). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors rank of group of rational points; Jacobian; Mordell-Weil rank; hyperelliptic curve Schaefer, Edward F., \(2\)-descent on the Jacobians of hyperelliptic curves, J. Number Theory, 51, 2, 219-232, (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors real algebraic plane curve; Hilbert 16th problem; singularities of plane curve; constructing curves of a given degree; prescribed arrangement; perturbing singular curves with controlled variation of the topology; Ragdale's conjecture Brugallé, E.: Tropical curves, notes from introductary lectures given in July 2013 at Max Planck Institute for Mathematics, Bonn. http://erwan.brugalle.perso.math.cnrs.fr/articles/TropicalBonn/TropicalCurves | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard curve; hyperelliptic curves; genus 3; inverse Jacobian; explicit algorithm | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors hypersurfaces; Schebert calculus; cubic hypersurfaces; cubic threefolds; cubic fourfolds; Pfaffian cubics; unirationality; rationality; Picard group; intermediate Jacobian; Albanese variety; Abel-Jacobi map; conic bundles; abelian varieties; Prym varieties; Hilbert square; varieties with vanishing Chern class; Calabi-Yau varieties; holomorphic symplectic varieties; Beauville-Bogomolov decomposition theorem | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors action of Hecke algebra on the singular homology groups; toroidal compactification of a Siegel modular variety Hatada, K.: Homology groups, differential forms and Hecke rings on Siegel modular varieties. To appear in the volume Topics in Mathematical Analysis [to the memory of A. L. Cauchy] (ed. T. M. Rassias), World Scientific Publishing Co., Singapore (1989). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors surface of general type; sectional genus; irregularity; quasi-polarized surface; symmetric square of a curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard group; double cover of Fano \(n\)-fold; embedded as a very ample divisor; branch locus; Del Pezzo manifolds; polarized manifolds; \(\Delta\)-genus | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Euclidean domains; affine open subscheme of a curve Brown, M.L.: A note on Euclidean rings of affine curves. J. Lond. Math. Soc.29, 229--236 (1984) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors k-gonal curve; double cover of a nonsingular complete curve; linear series Del Centina, A.: \(g{\kappa}1\) on an unramified double cover of a k-gonal curve and applications. Rend. sem. Mat. Torino 41, 53-63 (1983) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors principally polarized abelian variety; theta divisor; divisors; Clemens' double solids; Prym map; blow up; locus of jacobians E. Izadi, The geometric structure of \?\(_{4}\), the structure of the Prym map, double solids and \Gamma \(_{0}\)\(_{0}\)-divisors, J. Reine Angew. Math. 462 (1995), 93 -- 158. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors irreducibility of system of irreducible plane curves; abelian; fundamental group of the complement of a nodal plane curve; degree n Oscar Zariski, On the problem of irreducibility of the algebraic system of irreducible plane curves of a given order and having a given number of nodes, Arithmetic and geometry, Vol. II, Progr. Math., vol. 36, Birkhäuser Boston, Boston, MA, 1983, pp. 465 -- 481. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algorithm for the computation of the topological type of a real curve; Thom's lemma Roy, M. -F.: Computation of the topology of a real curve. Astérisque 192, 17-33 (1990) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors semifree action; algebraic realization; compact Lie group; orthogonal representation; real algebraic \(G\) variety; smooth \(G\) manifold; algebraically realized; equivariant diffeomorphism; \(G\)-vector bundles; product of a group of odd order and a 2-torus; equivariant map; equivariantly homotopic; equivariant bordism class Dovermann, K.H., Wasserman, A.G.: \textit{Algebraic Realization for Cyclic Group Actions with One Isotropy Type}, preprint (2005) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian variety; characteristic polynomial of the Frobenius; rational points | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors torsion subgroup of second Chow group; \(K_2\)-cohomology; Galois module structure; Bloch-Quillen-formula; Neron-Severi group; Picard variety Colliot-Thélène, J. -L.; Raskind, W., \(\mathcal{K}_2\)-cohomology and the second Chow group, Math. Ann., 270, 165-199, (1985) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors reduction modulo p of a Shimura variety; gerb; motives; Tate conjecture; Hodge conjecture Langlands, R. P.; Rapoport, M., Shimuravarietäten und Gerben, J. Reine Angew. Math., 378, 113-220, (1987) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalized Weil pairing; generalized Tate pairing; elliptic curve cryptography; abelian variety cryptography; multilinear maps D. Boneh and A. Silverberg, Applications of multilinear forms to cryptography, Topics in Algebraic and Noncommutative Geometry (Luminy/Annapolis 2001), Contemp. Math. 324, American Mathematical Society, Providence (2003), 71-90. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian variety; general Torelli theorem; moduli space of unramified double covers of smooth curves; degree of the Prym map Donagi, Ron; Smith, Roy Campbell, The structure of the Prym map, Acta Math., 146, 1\textendash2, 25-102, (1981) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian variety; rational points; linear pencil of projective plane curves; Mordell-Weil lattices; Manin-Shafarevich theorem; height pairing; Lefschetz pencils of hyperplane sections Shioda, T.: Generalization of a theorem of Manin-Shafarevich. Proc. Japan acad. 69A, 10-12 (1993) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalized Jacobian; ordinary curve singularities Zhang B. (1997). Sur les jacobiennes des courbes à singularités ordinaires. Manuscripta math. 92: 1--12 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Hamburger-Noether matrices; equisingular deformations of curve singularities; infinitely near points; resolution procedure of a curve singularity; HN matrices; HN expansions; multiplicity sequence; HN deformations; Arf matrices; monoidal transformations Castellanos, J.: ''Hamburger-Noether matrices over rings'' J.P.P.A. 64 (1990) 7--19 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian variety; isogeny; theta group; theta function; discrete logarithm problem; non-hyperelliptic curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors genus; Jacobian; isogenous to a product of elliptic curves Torsten Ekedahl and Jean-Pierre Serre, Exemples de courbes algébriques à jacobienne complètement décomposable, C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), no. 5, 509 -- 513 (French, with English and French summaries). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors meromorphic function; cusp forms; functional equation; Mellin transforms; Rankin type convolution; generalized period; Jacobian variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors foliation; toric Fano variety; Lagrangian torus; Auroux foliation; Berezin symbol; Hamiltonian action of a symbol; moment map; geometric quantization S. A. Belev and N. A. Tyurin, Math. Notes, 87, 43--51 (2010). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors unidecomposable sheaf; morphisms from an elliptic curve to a Grassmann variety Bruguières, A., The scheme of morphisms from an elliptic curve to a Grassmannian, Compositio Math., 63, 1, 15-40, (1987) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Witt ring of a ring; real algebraic curve; Knebusch-Milnor sequence | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors construction of elliptic curves from automorphic Hecke newforms; Drinfeld modular curves; Shimura-Taniyama-Weil conjecture; Jacobian; strong Weil curve; strong Weil uniformization Gekeler, E-U; Reversat, M, Jacobians of Drinfeld modular curves, J. für die reine und angewandte Mathematik, 476, 27-93, (1996) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors plane curve singularity; polar invariant; Jacobian Newton polygon; pencil of plane curve singularities J. Gwoździewicz, A. Lenarcik and A. Płoski, Polar invariants of plane curve singularities: intersection theoretical approach, \textit{Demonstratio Math}. \textbf{43} (2010), 303-323. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalized Weil's reciprocity law; one-dimensional group variety; topology of the fiber-structure; invariant of homomorphism; Riemann surface | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors cylindrical decomposition; CAD; computing the topological type of a nonsingular real-algebraic curve; ovals S. Arnborg and H. Feng, Algebraic decomposition of regular curves, J. Symbolic Comput. 5 (1988) 131--140. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Subalgebra of a quantized universal enveloping algebra; invariant prime ideal; Schubert cell; Demazure module; generating set; Bruhat interval; torus orbit; flag variety; Poisson structure; symplectic leaf; quantum matrix M. Yakimov, \textit{Invariant prime ideals in quantizations of nilpotent Lie algebras}, Proc. Lond. Math. Soc. (3) \textbf{101} (2010), no. 2, 454-476. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors divisor on a \(\widehat Z\)-submodule \(M\) of a curve over a finite field; effective divisor; linear equivalence of a divisor on \(M\) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors equivalence problem; minimal rational curve; complete intersection; variety of minimal rational tangents (VMRT) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors affine variety; group of automorphisms; fixed point of a polynomial automorphism | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors trigonal curve; rationality; unirationality; total ramification point; moduli scheme of trigonal curves; rational variety Casnati G., Del Centina A.: On certain loci of curves of genus g 4 with Weierstrass points whose first non-gap is three. Math. Proc. Cambridge Philos. Soc. 132, 395--407 (2002) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors regular selfmapping of a complex algebraic variety; surjunctivity; proregular mappings; proalgebraic spaces; proalgebraic varieties; model theory; symbolic dynamics M. Gromov, ``Endomorphisms of symbolic algebraic varieties'', J. Eur. Math. Soc. (JEMS)1 (1999) no. 2, p. 109-197 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors coherent functor; representable functor; torsion; Picard group of a scheme of finite type over a finite field Jaffe, DB, Coherent functors, with application to torsion in the Picard group, Trans. Am. Math. Soc., 349, 481-527, (1997) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors index of a variety; rational points; \((C_1)\)-conjecture; cobordism ring; Euler characteristic Hélène Esnault, Marc Levine, and Olivier Wittenberg, Index of varieties over Henselian fields and Euler characteristic of coherent sheaves, J. Algebraic Geom. 24 (2015), no. 4, 693 -- 718. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors factorial terminal singularities; cone of effective divisors; cone of numerically effective curves; rationality of spectral value; threefold; coextremal ray; Mori's theory; ample Cartier divisor Victor V. Batyrev, The cone of effective divisors of threefolds, Proceedings of the International Conference on Algebra, Part 3 (Novosibirsk, 1989) Contemp. Math., vol. 131, Amer. Math. Soc., Providence, RI, 1992, pp. 337 -- 352. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors projective space; linear subspaces; degree and genus of a projective curve; \(k\)-secant a curve Barz, P., Sur une formule de Castelnuovo pour LES espaces multisécants, Bollettino dell unione matematica italiana. Sezione B: articoli di ricerca matematica, 10, 381-388, (2007) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Kummer extension; rational function field; splitting of prime divisors; genus; smooth projective curve Xing, C. P.: Multiple Kummer Extensions and the Number of Prime Divisors of Degree One in Function Fields. J. of Pure and Appl. Algebra84, 85--93 (1993) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard group; quadratic intersection form on the Néron-Severi-group of a compact complex non-algebraic surface; algebraic dimension; 2-vector bundles Brînzânescu, V., Flondor, P.: Quadratic intersection form and -vector bundles on nonalgebraic surfaces, Proc. Conf. on Alg. Geometry, Berlin 1985, Teubner: Band 92, 1986 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Witt group of a smooth complex curve; Witt group of a smooth complex surface; K-theory; étale cohomology Fernández-Carmena, Fernando: The Witt group of a smooth complex surface, Math. ann. 277, No. 3, 469-481 (1987) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Hilbert scheme; liaison; linkage; number of general points on a curve; space curves; normal bundle Perrin D., Courbes passant par m points généraux de \({\mathbb{P}^{3}}\), Mém. Soc. Math. France 28-29 (1987). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Weierstrass gap sequence; Weierstrass semigroup; smooth plane curve; double covering of a curve; blowing-up of a rational surface | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors universal Picard variety; geometric invariant theory; spin curve; stable curve Fontanari, C., On the geometry of moduli of curves and line bundles, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 16, No. 1 (2005), 45-59. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors polar curves; germ of a plane analytic curve E. Garcia Barroso, Un théorème de décomposition pour les polaires génériques d'une courbe plane, C. R. Acad. Sci. Paris Sér. I Math. 326 (1998), 59--62. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors threefold of general type; canonical system; fibration over a curve; genus; irregularity; geometric genus; cohomology groups DOI: 10.1017/S0305004198002734 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors finiteness of integral points; prime characteristic; abelian variety over a function field Voloch, J.F., Diophantine approximation on abelian varieties in characteristic \textit{p}, Amer. J. math., 117, 4, 1089-1095, (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(n\)-contact curve; elliptic curves; representation of divisors; Zariski tuple | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(p\)-adic heights of rational points on an elliptic curve defined over a number field; Weierstraß \(\sigma\)-function; \(p\)-adic heights of rational points on an elliptic curve over a number field | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(\mathbb{Q}\)-factorial complete toric varieties; Cartier and Weil divisors; pure modules; free and torsion subgroups; localization; completion of fans | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors arithmetically Gorenstein variety; linkage class of a complete intersection; liaison in codimension two; basic double link; Lazarsfeld- Rao property; licci; Grassmann variety Bolondi, G.; Migliore, J. C.: The lazarsfeld--Rao property on an arithmetically Gorenstein variety. Manuscripta math. 78, 347-368 (1993) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors geometry of the morphisms from a projective variety to a Grassmannian; dimensions of sections of subsheaves; \(h^ 0\)-stability; \(h^ 0\)-semistability; torsion free sheaf | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors plane curve singularities; analytic morphism; discriminant; Jacobian; shadow; clusters; germs of pencils; Puiseux series | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Grothendieck category; symmetric closed category; Picard group; Brauer group; Grothendieck group; relative Brauer group; bundles of moduli | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors base locus of quadrics; Prym varieties; Jacobian Gauss divisors; Prym Gauss divisors; birational Donagi conjecture; double covers R. Smith and R. Varley, ''The Prym Torelli problem: An update and a reformulation as a question in birational geometry,'' in Symposium in Honor of C. H. Clemens, Bertram, A., Carlson, J. A., and Kley, H., Eds., Providence, RI: Amer. Math. Soc., 2002, pp. 235-264. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors approximate roots; deformations of a plane curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors inverse eigenvalue problems; Grassmann varieties; degree of a projective variety Kim, M., Rosenthal, J., and Wang, X., Pole Placement and Matrix Extension Problems: a Common Point of View, SIAM J. Control Optim., 2004, vol. 42, no. 6, pp. 2078--2093. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors supersymmetric theories for a 10-dimensional universe; Tian-Yau complete intersection Calabi-Yau threefold; number of nonsingular rational curves; Picard-Fuchs equation DOI: 10.2140/pjm.2000.192.415 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Koszul resolution; Hilbert scheme of a generic complete intersection; Grassmann variety Ein, L., \textit{subvarieties of generic complete intersections}, Invent. Math., 94, 163-169, (1988) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors toric variety; fan; torus action; Weil divisors; Picard group; Brauer group; étale cohomology T. J. Ford, Topological invariants of a fan associated to a toric variety, Comm. Algebra 23 (1995), 4031--4045. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors spheric variety; Borel subgroup; dense orbit; symmetric varieties; Picard group of spherical varieties; intersection numbers; characteristic numbers Brion, M., Groupe de Picard et nombres caractéristiques des variétés sphériques, Duke Math. J., 58, 397-424, (1989) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors base points of a pencil; polar curve; weighted cluster; number of critical values Cassas-Alvero, E.; Peraire, R.: A bound for the number of critical values at infinity. J. pure appl. Algebra 149, 35-47 (1999) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Rees algebra; analytic spread; ideal of a toric variety; block-arithmetic matrices Gimenez, Ph.; Morales, M.; Simis, A.: L'analytic spread de l'idéal de définition d'une variété monomiale de codimension deux est toujours inférieur ou égal à trois. C. R. Acad. sci. Paris 319, 703-706 (1994) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Weierstrass point; canonical model of a singular curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors minimal surface; algebraic surface; rational parametrization; polynomial parametrization; meromorphic function; isotropic curve; Weierstraß representation; Björling formula; evolute of a space curve; curve of constant slope Odehnal, B., On algebraic minimal surfaces, KoG, 20, 61-78, (2017) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors real algebraic variety; real divisor; degree of a hypersurface | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors fundamental group of complement of a plane curve; projective degenerations of the Veronese surface; braid monodromy B Moishezon, M Teicher, Braid group techniques in complex geometry IV: Braid monodromy of the branch curve \(S_3\) of \(V_3{\rightarrow}\mathbbC\mathrmP^2\) and application to \(\pi_1(\mathbbC\mathrmP^2-S_3,*)\), Contemp. Math. 162, Amer. Math. Soc. (1994) 333 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors group of automorphisms; categorical quotient of a variety; invariant of a linear group; variety of \(m\)-typles Zubkov, A.N.: Invariants of an adjoint action of classical groups. Algebra Logic 38(5), 299--318 (1999) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Hurwitz numbers; moduli of curves; Picard variety I. P. Goulden, D. M. Jackson, and R. Vakil, ''Towards the Geometry of Double Hurwitz Numbers,'' Adv. Math. 198(1), 43--92 (2005). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors rigid analytic varieties; covering maps; Grothendieck topology; fundamental group; Schottky uniformization of a Mumford curve P. Ullrich, Rigid analytic covering maps , Proceedings of the conference on \(p\)-adic analysis (Houthalen, 1987), Vrije Univ. Brussel, Brussels, 1986, pp. 159-171. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors extensions of vector bundles; moduli space of stable vector bundles on a generic curve; subbundles; elliptic tail Teixidor i Bigas, J. Reine Angew. Math. 528 pp 81-- (2000) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors topology of real algebraic manifolds; number of ovals; complex orientations of a real curve; non-existence of curves of isotopy types; M-curve O. Ya. Viro,Real plane curves of degrees 7 and 8: new prohibitions, Mathematics of the USSR Izvestia23 (1984), 409--422. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Honda group law; additive group; universal n-dimensional formal group law; Lubin-Tate group laws; finite rank Lie algebras; generalized Witt polynomials; Eisenstein polynomials; height; formal A-modules; reduced Cartier-Dieudonné module; Brown-Peterson cohomology; hyperalgebras M. Hazewinkel, \textit{Formal Groups and Applications}, Acad. Press, New York (1978). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors graph of groups; fundamental group of a generic curve Saı\ddot{}di, M.: Revêtements étales et groupe fondamental de graphe de groupes. C. R. Acad. sci. Paris sér. I 318, 1115-1118 (1994) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors analytic branches of an algebraic affine variety along a singular subvariety; henselian rings; geometric global branches | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors iterated matrix multiplication; symmetry group of a polynomial; Jacobian loci of hypersurfaces F. Gesmundo, \textit{Geometric aspects of iterated matrix multiplication}, J. Algebra, 461 (2016), pp. 42--64. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors singularity; Fano variety; positivity properties of sheaves of differential operators; line bundles; canonical divisor; Weil divisors | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors genus of a complex projective curve; Castelnuovo-Halphen theory; flag condition | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors arc of a curve; tangent of a curve; tangential surface; barycentre; quaternion | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(K_1\)-groups of algebraic curves; arithmetic Hodge structure; generalized Jacobian rings | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Third order curves; conjugated points; Hesse's curve; pencil of curves; envelope; Jacobian curve; covariant; nets | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors splitting of vector bundle; classification of indecomposable vector bundles on a complete regular absolutely irreducible curve A. Tillmann, Unzerlegbare Vektorbündel über algbraischen Kurven, Dissertation. Fern Universität, Hagen, 1983. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors effective Chabauty; cardinality of rational points on a curve; Fermat's Last Theorem; rank of the Mordell-Weil group; Fermat curve; rational points on curves W. G. McCallum, ''On the method of Coleman and Chabauty,'' Math. Ann., vol. 299, iss. 3, pp. 565-596, 1994. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors coordinate ring of a nonsingular affine real curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors semisimple adjoint algebraic group; large Schubert varieties; Picard group; filtration; algebra of regular functions; flag variety; equivariant \(K\)-theory Brion, M; Polo, P, Large Schubert varieties, Represent. Theory, 4, 97-126, (2000) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors nodal curves; torsion-free sheaves; generalized Jacobian; Picard bundle Bhosle Usha, N, Maps into projective spaces, Proc. Indian Acad. Sci. (Math. Sci.), 123, 331-344, (2013) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors biliaison; minimal curve of a linkage class; Hartshorne-Rao module; even linkage class | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors elliptic curve; tropical curve; tropical variety; intersection product; moduli space of curves Kerber, M.; Markwig, H., Counting tropical elliptic plane curves with fixed \textit{j}-invariant, Comment. Math. Helv., 84, 2, 387-427, (2009) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Plücker embedding of Grassmann variety; generalized weights Nogin, D.Yu., Codes Associated to Grassmannians, Arithmetic, Geometry and Coding Theory, Pellikaan, R., Perret, M., and Vladut, S., Eds., Berlin: Gruyter, 1996, pp. 145--154. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Discriminants; polar curves; to vanish; double root; triple root; differential coefficient; function of several variables; homogeneous coordinates; pole of a curve; order; double points; locus; peak; tangent | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic curve; spectral curve; matrix model; topological expansion of a matrix integral; tau-function; Hirota equation B. Eynard and N. Orantin, \textit{Invariants of algebraic curves and topological expansion}, \textit{Commun. Num. Theor. Phys.}\textbf{1} (2007) 347 [math-ph/0702045] [INSPIRE]. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors volumes of Cartier divisors; geometric realizations of algebraic numbers; geometric realizations of \(\pi \) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors dihedral group as Galois group; dihedral Galois covering of a smooth projective variety; prescribed branch locus Tokunaga H. (1994) On dihedral Galois coverings. Can. J. Math. 46: 1299--1317 | 0 |
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