On abelian varieties the theta divisor of which is singular in codimension 3

DOI10.1215/S0012-7094-88-05711-0zbMath0699.14058MaRDI QIDQ912942

Olivier Debarre

Publication date: 1988

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

varietiesJacobiansPrym varietiestheta divisorSchottky problemmoduli space of principally polarized abelian

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Algebraic moduli of abelian varieties, classification (14K10)

Related Items

The degree of the Gauss map of the theta divisor, On a numerical characterization of non-simple principally polarized abelian varieties, Special line bundles on curves with involution, Elliptic curves on abelian varieties, Semicontinuity of Gauss maps and the Schottky problem, Unnamed Item, Non-simple principally polarised abelian varieties, Geometry of Brill-Noether loci on Prym varieties, Degrees of curves in abelian varieties, Le théorème de Torelli pour les intersections de trois quadriques. (Torelli theorem for intersections of three quadrics), Jacobians with a vanishing theta-null in genus 4, Sur les variétés de Prym des courbes tétragonales, Smooth quotients of principally polarized abelian varieties, Singularities of divisors of low degree on abelian varieties, Theta divisors whose Gauss map has a fiber of positive dimension, Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach, Variétés de Prym et ensembles d'Andreotti et Mayer. (Prym varieties and Andreotti-Mayer sets), Unnamed Item

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