Some curves in Abelian varieties
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Publication:1164104
DOI10.1007/BF01389218zbMath0485.14009OpenAlexW2078731599WikidataQ116284684 ScholiaQ116284684MaRDI QIDQ1164104
Publication date: 1982
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142888
Compact Riemann surfaces and uniformization (30F10) Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Families, moduli of curves (analytic) (14H15)
Related Items (22)
On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane) ⋮ Characterization of Jacobian varieties in terms of soliton equations ⋮ Theta divisors with curve summands and the Schottky problem ⋮ Another proof of a conjecture of S. P. Novikov on periods of Abelian integrals on Riemann surfaces ⋮ The trisecant conjecture ⋮ Determinantal characterization of canonical curves and combinatorial theta identities ⋮ Finite subschemes of abelian varieties and the Schottky problem ⋮ Abelian pole systems and Riemann-Schottky-type problems ⋮ Schottky via the punctual Hilbert scheme ⋮ Menelaus Relation, Hirota–Miwa Equation and Fay's Trisecant Formula are Associativity Equations ⋮ FAY'S MATRIX IDENTITY FOR VECTOR BUNDLES ON A CURVE ⋮ Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants ⋮ Riemann surfaces and their associated Wirtinger varieties ⋮ Characterizing Jacobians via trisecants of the Kummer variety ⋮ Castelnuovo theory and the geometric Schottky problem ⋮ Second Order Theta Functions and Vector Bundles Over Jacobi Varieties ⋮ Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach ⋮ The Gauss map and secants of the Kummer variety ⋮ Unnamed Item ⋮ A characterization of non-hyperelliptic Jacobi varieties ⋮ Linear relations among holomorphic quadratic differentials and induced Siegel's metric on $\mathcal {M}_g$Mg ⋮ On Fay's tri-secant formula
Cites Work
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- Theta functions on Riemann surfaces
- On the theory of \(\vartheta\)-functions, the moduli of Abelian varieties, and the moduli of curves
- On products and algebraic families of Jacobian varieties
- On a characterization of a Jacobian variety
- Cech Homology Characterizations of Infinite Dimensional Manifolds
- Numerical and Homological Equivalence of Algebraic Cycles on Hodge Manifolds
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