Une relation entre deux approches du problème de Schottky. (A relation between two approaches to the Schottky problem)

DOI10.1007/BF01391500zbMath0659.14021MaRDI QIDQ1112124

Arnaud Beauville, Olivier Debarre

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143392

zbMATH Keywords

theta divisorSchottky problemjacobianprincipal polarized abelian variety

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40) Algebraic theory of abelian varieties (14K05)

Related Items

Unnamed Item ⋮ Complex Algebraic Geometry Applied to Integrable Dynamics: Concrete Examples and Open Problems ⋮ On abelian varieties the theta divisor of which is singular in codimension 3 ⋮ The curve of “Prym canonical” Gauss divisors on a Prym theta divisor ⋮ 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

Cites Work

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• Quadrics of rank four in the ideal of a canonical curve
• On a set of equations characterizing Riemann matrices
• A criterion for Jacobi varieties
• Characterization of Jacobian varieties in terms of soliton equations
• Theta functions and non-linear equations

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