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group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Weil reciprocity; class field theory; algebraic curves; function fields; residues | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Deligne-Mumford compactification; moduli of curves; stack; mapping class group; orbit category Ebert, J; Giansiracusa, J, On the homotopy type of the Deligne-Mumford compactification, Algebr. Geom. Topol., 8, 2049-2062, (2008) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) survey; integral indefinite quadratic forms; discriminant forms; representations of one form by another; group of motions of the n- dimensional hyperbolic space; discrete subgroup; reflections; crystallographic group; surface singularities; automorphisms of algebraic K3-surfaces I. Dolgachev, \textit{Integral quadratic forms: applications to algebraic geometry (after V. Nikulin)}, \textit{Séminaire Bourbaki}\textbf{25} (1982) 251. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) classification of germs; plane curves; finite determinacy; vector fields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) function fields; Bombieri-lang conjecture; varieties of general type | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) correspondences on hyperbolic curves; automorphisms of Teichmüller space S. Mochizuki, Correspondences on hyperbolic curves. Preprint, available at http://www.kurims.kyoto-u.ac.jp/ motizuki/papers-english.html MR1637015 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) elliptic curve; Heron triangle; specialization; Diophantine triple; family of elliptic curves; torsion group | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) torsion group; elliptic curves; cubic fields Najman, F.: Torsion of rational elliptic curves over cubic fields and sporadic points on \(X1(n)\), (2012) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) divisor class group of affine surface P. Blass and J. Lang , A method for computing the kernel of a map of divisor classes of local rings in characteristic p \neq 0 , Mich. Math. J. 35 (1988). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) quadratic differential system; algebraic invariant curve; topological equivalence; group action; affine invariant polynomial; configuration of invariant lines; multiplicity of an invariant line; Lotka-Volterra differential system Schlomiuk, D; Vulpe, N, Global classification of the planar Lotka-Volterra differential systems according to their configurations of invariant straight lines, J. Fixed Point Theory Appl., 8, 69, (2010) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) class numbers; function fields; mean values of \(L\)-functions Andrade, J. C., A note on the mean value of \textit{L}-functions in function fields, Int. J. Number Theory, 8, 7, 1725-1740, (2012) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) global fields; Drinfeld modules; elliptic curves; distribution of primes; densities | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Galois group; projective symplectic group; unramified covering of the affine line; quintinomial equations; one punctured affine line Shreeram, S. Abhyankar, and, Paul, A. Loomis, Twice more nice equations for nice groups, to appear. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) elliptic curves; function fields; Birch-Swinnerton-Dyer conjecture; modular elements; modular forms; special values; \(L\)-functions; Mazur and Tate's refined conjectures; integrality; functional equation Tan K.-S., Modular elements over function fields, J. Number Theory 45 (1993), no. 3, 295-311. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) discriminant of splitting fields of principal homogeneous spaces; finiteness for the Tate-Shafarevich group of an elliptic curve; Arakelov intersection theory; effective divisor; Faltings Riemann-Roch theorem Paul Hriljac, Splitting fields of principal homogeneous spaces , Number theory (New York, 1984-1985), Lecture Notes in Math., vol. 1240, Springer, Berlin, 1987, pp. 214-229. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) inverse problem of Galois theory, algebraic function field; arithmetic fundamental group; algebraic fundamental group; special linear group; SL(2,q); Mathieu group; \(M_{12}\); \(M_{22}\) Matzat, B.H.: Zwei Aspekte konstruktiver Galoistheorie,J. Algebra 96 (1985), 499--531 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) biholomorphic automorphisms; affine Nash group [Z1]Zaitsev, D., On the automorphism groups of algebraic bounded domains.Math. Ann., 302 (1995), 105--129. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) noncommutative tori; real multiplication; Stark numbers; real quadratic fields; spectral triples; noncommutative boundary of modular curves; modular shadows; quantum statistical mechanics | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) \(p\)-extensions of algebraic function fields; Artin-Schreier theory; characteristic \(p\); genus; number of rational points; coding theory; gap number Arnaldo Garcia and Henning Stichtenoth, Elementary abelian \(p\)-extensions of algebraic function fields, Manuscr. Math. 72 (1991), 67--79. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) public key; discrete logarithm; finite abelian groups; cryptosystems; jacobians of hyperelliptic curves; finite fields; groups of almost prime order N. Koblitz, Hyperelliptic cryptosystems, J. Cryptology 1 (1989), no. 3, 139-150. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) \(K_ 2\) of fields; Brauer group; cyclic algebras; generators A. S. Merkurjev, Structure of the Brauer group of fields , Izv. Akad. Nauk SSSR Ser. Mat. 49 (1985), no. 4, 828-846, 895, trad. anglaise, Math. USSR-Izv. 27 (1986), 141-157. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) construction; curves over finite fields; characteristic 2; supersingular curves; coding theory; generalized Hamming weights; odd characteristics; number of parameters G. VAN DER GEER - M. VAN DER VLUGT, On the existence of supersingular curves of given genus, J. Reine Angew. Math., 458 (1995), pp. 53-61. Zbl0819.11022 MR1310953 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Automorphism of function fields; singular points; rational function fields. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) algebraic geometry; uniformly bounded p-torsion of elliptic curves; order of group of p-torsion points Manin, Ju. I., The \textit{p}-torsion of elliptic curves is uniformly bounded, Izv. Akad. Nauk SSSR Ser. Mat., 33, 459-465, (1969) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) elliptic curves over function fields; Birch and Swinnerton-Dyer conjecture Hauer H. and Longhi I., Teitelbaum's exceptional zero conjecture in the function field case, J. reine angew. Math. 591 (2006), 149-175. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) descent on elliptic curves; invariants of binary quartics; group of rational points; elliptic curve; algorithm; Mordell-Weil group --------, Classical invariants and \(2\)-descent on elliptic curves , J. Symbolic Comput., 31 (2001), 71-87. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Galois point; plane curve; birational transformation; automorphism group Miura, K; Ohbuchi, A, Automorphism group of plane curve computed by Galois points, Beiträge zur Algebra und Geometrie, 56, 695-702, (2015) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) field of moduli; field of definition; automorphism group Kontogeorgis, Aristides, Field of moduli versus field of definition for cyclic covers of the projective line, J. Théor. Nombres Bordeaux, 21, 3, 679-692, (2009) | 1 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) curve over a finite field; zeta function; maximal curve; minimal curve Anuradha, N.: Zeta function of the projective curve ay2l=bX2l+cZ2l over a class of finite fields, for odd primes l, Proc. indian acad. Sci. math. Sci. 115, No. 1, 1-14 (2005) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic family of divisors on a curve of genus g; Castelnuovo-Severi inequality; finite characteristic; linear series; equivalence defect; theta-divisor on the Jacobian variety Kani E.: Castelnuovo's equivalence defect. J. Reine Angew. Math. \textbf{352}, 24-70 (1984). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors determinantal representation of a projective plane curve; divisors; Jacobian variety Vinnikov V. (1990) Elementary transformations of determinantal representations of algebraic curves. Linear Algebra Applications 135: 1--18 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Prym-Tyurin varieties; correspondence of a curve; Jacobian; subvariety of abelian variety; de Franchis' theorem; number of morphisms onto curves \beginbarticle \bauthor\binitsC. \bsnmBirkenhake and \bauthor\binitsH. \bsnmLange, \batitleThe exponent of an Abelian subvariety, \bjtitleMath. Ann. \bvolume290 (\byear1991), page 801-\blpage814. \endbarticle \OrigBibText C. Birkenhake and H. Lange. The exponent of an abelian subvariety. Math. Ann. , 290:801-814, 1991. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors limit linear series; higher Picard group; higher Jacobian; complex curve; isomorphism classes of line bundles of degree \(d\); Albanese variety; moduli space of pointed curves Ciro Ciliberto, Joe Harris, and Montserrat Teixidor i Bigas, On the endomorphisms of \?\?\?(\?\textonesuperior _{\?}(\?)) when \?=1 and \? has general moduli, Classification of irregular varieties (Trento, 1990) Lecture Notes in Math., vol. 1515, Springer, Berlin, 1992, pp. 41 -- 67. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Schottky problem; principally polarized abelian variety; jacobian of a curve; intermediate jacobian of a smooth cubic 3-fold; Prym variety BEAUVILLE (A.) , DEBARRE (O.) , DONAGI (R.) , VAN DER GEER (G.) . - Sur les fonctions thêta d'ordre deux et les singularités du diviseur thêta , C.R. Acad. Sc. Paris, t. 307, 1988 , p. 481-484. MR 90b:14053 | Zbl 0699.14057 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalized Jacobian of a complete integral curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Néron Severi group; Seshadri constant; Jacobian of a hyperelliptic curve; principal polarized abelian variety; theta divisor Steffens A. (1998). Remarks on Seshadri constants. Math. Z. 227: 505--510 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors effective Cartier divisors on integral projective curve; vector bundles on singular curves; desingularization; moduli spaces of semi-stale generalized parabolic sheaves | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors height functions; Jacobian surfaces; Jacobian variety of a hyperelliptic curve; Néron's local pairing; canonical local height at archimedean places; Birch and Swinnerton-Dyer conjecture Yoshitomi K.: On height functions on Jacobian surfaces. Manuscripta Math. 96, 37--66 (1998) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors nonalgebraic elliptic surface; vector bundle; Neron-Severi group; Jacobian variety of a curve; Chern classes | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli space of rank 2 semi-stable parabolic vector bundles; Picard group; Cartier divisors; determinant line bundle; theta functions; Jacobian Christian Pauly, Fibrés paraboliques de rang 2 et fonctions thêta généralisées, Math. Z. 228 (1998), no. 1, 31 -- 50 (French). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors variety of linear systems on a general curve; cohomology of Jacobian; Castelnuovo-Severi-Kleiman conjecture; algebraic intersection number; Schubert calculus Griffiths, P. \& Harris, J.,On the variety of special linear systems on a general algebraic curves, Duke Math. J.,47(1980), 233--272. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algebraic cycles; principally polarized abelian variety; jacobian of a general curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors universal Picard variety; universal Jacobian variety; moduli space of smooth curves; relative Néron-Severi group Kouvidakis, A., The Picard group of the universal Picard varieties over the moduli space of curves, J. Differential Geom., 34, 3, 839-850, (1991) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors theta divisor in the Jacobian of a non-hyperelliptic smooth curve; rank-4 double point; rank-4 quadrics conjecture; generic constructive Torelli theorem; infinitesimal deformation theory for the singularities of theta divisors SMITH (R.) , VARLEY (R.) . - Deformations of theta divisors and the rank 4 quadrics problem , Compositio Math., t. 76, 1990 , n^\circ 3, p. 367-398. Numdam | MR 92a:14025 | Zbl 0745.14012 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Brauer groups; Tate-Shafarevich groups; Jacobian variety; index and period of a curve; Cassels-Tate pairing González-Avilés C.: Brauer groups and Tate-Shafarevich groups. J. Math. Sci. Univ. Tokyo 10, 391--419 (2003) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Néron-Severi group; elliptic bundles over a curve; group of morphisms of abelian varieties; Jacobian variety Brînzănescu, V, Neron-Severi group for non-algebraic elliptic surfaces I: elliptic bundle case, Manuscr. Math., 79, 187-195, (1993) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors compactifications; Jacobian variety of a semistable curve; logarithmic structures Takeshi Kajiwara, Logarithmic compactifications of the generalized Jacobian variety, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 40 (1993), no. 2, 473 -- 502. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors higher-dimensional algebraic varieties; birational geometry; birational classification theory; minimal model program; Mori theory; cohomological vanishing theorems; cohomological nonvanishing theorems; Cartier divisors; morphisms from curves; varieties with many rational curves; rational quotient of a variety; cone theorem; contraction theorem; extremal rays Debarre O., Higher-dimensional algebraic geometry, Universitext, Springer-Verlag, New York 2001. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors principally polarized abelian varieties; Jacobian variety of a curve; Hecke algebra; Prym variety for covers of curves | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli space of stable rank-2 vector bundles over a smooth complex projective curve; Picard sheaf; deformations of the universal bundle; Torelli-type theorems; moduli spaces of stable pairs; intermediate Jacobian Balaji V and Vishwanath P R, Deformations of Picard sheaves and moduli of pairs,Duke Math. J. 76 (1994) 773--792 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Liouville integrability; Lax equation; motion of a particle; lineraization of the flow; generalized Jacobian; singular spectral curve; harmonic oscillator; confluent case; \(S^{1}\) symmetry; symplectic reduction; Rosochatius system | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors factoriality of moduli space of algebraic semistable vector bundles; Picard group; smooth projective curve; determinant; theta divisors; Jacobian Drézet, J.-M.; Narasimhan, M. S., Groupe de Picard des variétés de modules de faisceaux semi-stables sur les courbes algébriques, Invent. Math., 97, 53-94, (1989) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors old subvariety of the Jacobian variety of a modular curve; integral Fourier coefficients; Serre's conjectures Kenneth A. Ribet, The old subvariety of \?\(_{0}\)(\?\?), Arithmetic algebraic geometry (Texel, 1989) Progr. Math., vol. 89, Birkhäuser Boston, Boston, MA, 1991, pp. 293 -- 307. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors action of a reductive group; Cartier divisors; spherical variety Timashev, DA, Cartier divisors and geometry of normal \(G\)-varieties, Transform. Groups, 5, 181-204, (2000) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors abelian variety; theory ACFA; group definable in a model; model theoretic stability; 1-basedness; model companion of the theory of fields with an automorphism; Manin-Mumford conjecture; projective curve; Jacobian variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian of a non-singular; compact Riemann surface; hyperelliptic surface; special divisors; birational transformations; homogeneous coordinates; Kummer variety Athorne C., On the equivariant algebraic Jacobian for curves of genus two, J. Geom. Phys., 2012, 62(4), 724--730 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Siegel modular forms; cubic hypersurfaces; zero set of the Fermat ideal; Schottky modular form; Gauss map on the theta divisor; principally polarized Abelian variety; theta function; Siegel modular group; Jacobian of a generic curve; Fermat cubic; cubic forms Mccrory, C.; Shifrin, T.; Varley, R.: Siegel modular forms generated by invariants of cubic hypersurfaces. J. algebraic geom. 4, 527-556 (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors curve lying on a generic complex abelian variety; geometric genus of a curve; Kummer variety; Abel-Jacobi image; intermediate Jacobian; Prym curve G. P. Pirola, Abel-Jacobi invariant and curves on generic abelian varieties. In: \textit{Abelian varieties (Egloffstein}, 1993), 237-249, de Gruyter 1995. MR1336610 Zbl 0837.14036 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors principal polarization on a complex abelian variety; symmetric theta divisor; theta functions; Jacobian of a non-hyperelliptic curve IZADI (E.) . - Fonctions thêta du second ordre sur la jacobienne d'une courbe lisse , Math. Ann., t. 289, 1991 , n^\circ 2, p. 189-202. MR 92a:14024 | Zbl 0735.14029 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors abelian variety; torus; torsion points; Bezout's theorem; Jacobian of a curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors system of coordinates; Jacobian variety of Picard curves; efficient algorithm; reduction and addition of divisors; complexity E. Barreiro, J. Sarlabous, J. Cherdieu, Efficient reduction on the jacobian variety of Picard curves, Coding Theory, Cryptography and Related Areas, Springer, Berlin, 2000, pp. 13 -- 28. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli space; symmetric power of a curve; Jacobian of line bundles; Brill-Noether loci; theta divisors \beginbarticle \bauthor\binitsL. \bsnmTu, \batitleSemistable bundles over an elliptic curve, \bjtitleAdv. Math. \bvolume98 (\byear1993), page 1-\blpage26. \endbarticle \OrigBibText L. Tu, Semistable bundles over an elliptic curve , Adv. Math. 98 (1993), 1-26. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian variety; Abel map; r-fold symmetric product of a non-singular algebraic curve; algebraic equivalence ring Ceresa, G., \(C\) is not algebraically equivalent to \(C^{-}\) in its Jacobian, Ann. Math. (2), 117, 285-291, (1983) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian of a Fermat curve; isogenous abelian variety of CM type; Fermat curve N. Aoki, Simple factors of the Jacobian of a Fermat curve and the Picard number of a product of Fermat curves, Amer. J. Math., 113 (1991), 779-833. JSTOR: | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Schottky problem; four dimensional principally polarized Abelian varieties; singular theta divisor; ordinary double points; multiplicity of a principally polarized Abelian variety; Milnor numbers; Jacobian theta-divisors Roy Smith and Robert Varley, On the geometry of \?\(_{0}\), Rend. Sem. Mat. Univ. Politec. Torino 42 (1984), no. 2, 29 -- 37 (1985). | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors general Jacobian variety of dimension \(g\geq 4\); generalized Jacobian of an irreducible stable curve with two nodes; isogeny; geometric genus Bardelli, F., Pirola, G.P.: Curves of genusg lying on ag-dimensional Jacobian variety, Invent. Math.95, 263--276 (1989) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Kummer variety of a hyperelliptic curve of genus 3; height function on the Jacobian; algorithms for computing the torsion subgroup; infinite descent | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors embedding of the Jacobian variety of a curve; local parameters; formal group Flynn, Eugene Victor, The Jacobian and formal group of a curve of genus \(2\) over an arbitrary ground field, Math. Proc. Cambridge Philos. Soc., 107, 3, 425-441, (1990) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors principally polarized abelian variety; Jacobian of a curve; trisecant; Schottky problem; theta divisor Debarre O., Compisito Math. 107 pp 177-- | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors extension class of a line bundle; infinitesimal Torelli problem; Gorenstein curve; generalized divisors Rizzi, L., Zucconi, F.: On Green's proof of infinitesimal Torelli theorem for hypersurfaces, Preprint | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors connected curve; moduli space of semi-stable vector bundles; length of the polystable bundle; singular locus; local ring at a singular point; multiplicity; tangent cones; Kummer variety; Coble quartic; multiplicity of a generalized theta divisor DOI: 10.1007/BF02566426 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalized jacobian of a curve; horizontal trivialization; universal vectorial extension Coleman, R.: Vectorial extensions of Jacobians. Ann. inst. Fourier (Grenoble) 40, No. 4, 769-783 (1990) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors algorithms; computation in the Jacobian of a hyperelliptic curve D. G. Cantor, \textit{Computing in the Jacobian of a hyperelliptic curve}, Math. Comp., 48 (1987), pp. 95--101, . | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli space; principally polarized abelian variety; crystalline cohomology; canonical lifting; Jacobian of an ordinary curve Dwork, B.; Ogus, A., \textit{canonical liftings of Jacobians}, Compositio Math., 58, 111-131, (1986) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Grassmannian variety; quadric fibration over a smooth curve; Castelnuovo's bound for the genus of projective curves Arrondo, E.; Bertolini, M.; Turrini, C.: Quadric bundle congruences in \(G(1,n)\). Forum math. 12, 649-666 (2000) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors modular curve; jacobian; abelian variety; \({\mathbb{Q}}\)-simple factors; torsion subgroups of the Mordell-Weil groups; conjecture of Birch and Swinnerton-Dyer | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors \(C_{ab}\) curves; Jacobian variety; addition of divisors; reduction algorithms; intersections in projective space | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors integrable systems; Picard group; Riemann surfaces of infinite genus; complete integrability; eigenbundles; holomorphic line bundles; spectral curve; divisors; Darboux coordinates; Serre duality Schmidt M U 1996 \textit{Integrable Systems and Riemann Surfaces of Infinite Genus}\textit{(Memoirs of the American Mathematical Society vol 122)} (Providence, RI: American Mathematical Society) pp 1--111 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors stability of Picard bundle; Jacobian variety; theta divisor; semistability of higher conormal bundles for elliptic curves Ein, L.; Lazarsfeld, R., Stability and restrictions of Picard bundles, with an application to the normal bundles of elliptic curves, complex projective geometry, \textit{London Math. Soc. Lect. Note Ser.}, 179, 149-156, (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian of a hyperplane section of a surface; endomorphisms of abelian varieties; Albanese variety; linear system Ciliberto, C., van~der Geer, G.: On the Jacobian of a hyperplane section of a surface. In: Classification of Irregular Varieties (Trento, 1990). Lecture Notes in Mathematics, vol. 1515, pp. 33-40, Springer, Berlin (1992) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors compactified Jacobian; decomposition of Picard variety; unibranch singularity; Gorenstein curves | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Picard group; adjunction process; surfaces of small sectional genus; Castelnuovo's bound for the genus of a curve | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors dimension of real algebraic homology group; real algebraic variety; Zariski closed real algebraic hypersurfaces; Albanese variety; endomorphisms; complex elliptic curve; jacobian variety Bochnak J., Kucharz W.: Real algebraic hypersurfaces in complex projective varieties. Math. Ann. 301, 381--397 (1995) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors varieties over a local field; Néron models; arithmetical graphs; discrete valuation ring; Jacobian; abelian variety; group of components Lorenzini, D., Reduction of points in the group of components of the Néron model of a Jacobian, J. Reine Angew. Math., 527, 117-150, (2000) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian of Hurwitz curve; decomposition of a Jacobian as product of elliptic curves Bennama, H.; Carbonne, P.: Périodes et jacobiennes des courbesxm+Ym+Zm=0. Bull. Polish acad. Sci. 44 (1996) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Weierstrass points on a closed Riemann surface; gap sequences; thetafunction of the Jacobian variety | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Clifford theorem; divisors on a nonsingular projective algebraic curve; dimension of product of vector spaces; Riemann-Roch formula; bilinear map | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors moduli of rank 2 vector bundles over a curve; relative Frobenius Laszlo Y. and Pauly C. (2004). The Frobenius map, rank 2 vector bunbles and Kummer's quartic surface in characteristic 2 and 3. Adv. Math. 185: 246--269 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Calabi-Yau threefolds; unipotent monodromy; variation of the Hodge structure; Picard-Fuchs differential equation; K3 surfaces; elliptic curves; product of a \(K3\) surface and an elliptic curve Garbagnati, A, New families of Calabi-Yau threefolds without maximal unipotent monodromy, Manuscripta Math., 140, 273-294, (2013) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Eisenstein ideal for a Fermat curve; endomorphism of the jacobian; Fermat curve of degree 5 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Kobayashi hyperbolic variety; directed manifold; genus of a curve; jet bundle; jet differential; jet metric; Chern connection and curvature; negativity of jet curvature; variety of general type; Kobayashi conjecture; Green-Griffiths conjecture; Lang conjecture | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors real algebraic curve; effective divisors; group structure on the neutral real component of the Jacobian Huisman, J.: On the neutral component of the Jacobian of a real algebraic curve having many components. Indag. math. 12, No. 1, 73-81 (2001) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Jacobian of a hyperelliptic curve; group of rational points; finite field; Weil pairing | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors threefold; double cover of projective 3-space branched along a sextic surface; Abel-Jacobi map; Albanese variety; intermediate Jacobian | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors holomorphic vectorfield; foliation; topological invariants of isolated singularities of holomorphic; functions; Milnor number; desingularization; algebraic multiplicity of a generalized curve; topological invariants of isolated singularities of holomorphic functions César Camacho, Alcides Lins Neto & Paulo Sad, ``Topological invariants and equidesingularization for holomorphic vector fields'', J. Differ. Geom.20 (1984) no. 1, p. 143-174 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors bi-graded structures; duality; elimination theory; generalized zero of a matrix; generator degrees; Hilbert-Burch matrix; infinitely near singularities; Koszul complex; local cohomology; linkage; matrices of linear forms; Morley forms; parametrization; rational plane curve; rational plane sextic; Rees algebra; Sylvester form; symmetric algebra 10.1016/j.jalgebra.2016.08.014 | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors generalized Albanese variety; modulus of a rational map; generalized mixed Hodge structure Kato, K.; Russell, H., \textit{Albanese varieties with modulus and Hodge theory}, Ann. Inst. Fourier (Grenoble), 62, 783-806, (2012) | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors ordinary curve; holomorphic differential; Hasse-Witt matrix; p-division points; very special curve; p-rank of Jacobian; characteristic p; hyperelliptic curves; Cartier operator | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors coordinate ring of a meromorphic curve; epimorphism theorem; Jacobian problem S.S. Abhyankar , '' Expansion technics in Algebraic Geometry ,'' Tata Institute of Fundamental Research, Bombay, 1977. | 0 |
Picard variety of a curve; generalized Jacobian; relative Cartier divisors Néron model; weak Néron model; abelian variety; group scheme; elliptic curve; semi-stable reduction; Jacobian; group of components | 0 |
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