A criterion for Jacobi varieties
From MaRDI portal
Publication:1063655
DOI10.2307/1971084zbMath0574.14027OpenAlexW2329738942MaRDI QIDQ1063655
Publication date: 1984
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971084
Compact Riemann surfaces and uniformization (30F10) Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25)
Related Items (17)
Characterization of Jacobian varieties in terms of soliton equations ⋮ Another proof of a conjecture of S. P. Novikov on periods of Abelian integrals on Riemann surfaces ⋮ Une relation entre deux approches du problème de Schottky. (A relation between two approaches to the Schottky problem) ⋮ The trisecant conjecture ⋮ M-regularity of ℚ-twisted sheaves and its application to linear systems on abelian varieties ⋮ 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 ⋮ 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 ⋮ Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach ⋮ Expression of parameters of solutions of algebraically integrable nonlinear equations in terms of theta constants ⋮ A characterization of hyperelliptic Jacobians
This page was built for publication: A criterion for Jacobi varieties
