A characterization of hyperelliptic Jacobians

DOI10.1007/BF02568350zbMath0798.14016MaRDI QIDQ1313515

Giambattista Marini

Publication date: 3 November 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155846

zbMATH Keywords

principally polarized abelian varietycharacterizing Jacobians of hyperelliptic curves among all principally polarized abelian varietiesdimension of the singularity locusTheta divisor on Jacobian

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Theta functions and curves; Schottky problem (14H42)

Cites Work

• A criterion for Jacobi varieties
• 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
• Theta functions on Riemann surfaces
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