Second order theta divisors on Pryms

1997/04/23 by Elham Izadi, E. Izadi, Izadi, E. · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Mathematical Identities #Rings, Modules, and Algebras #alg-geom #math.AG #msc:14H42 #msc:14K25

paper · pdf · doi:10.48550/arxiv.alg-geom/9704020

AMS-Latex, 11 pages, the exposition has been modified, Proposition 5 has been modified

arxiv created 1997/07/02 · arxiv updated 2009/11/30

Abstract

Van Geemen and van der Geer, Donagi, Beauville and Debarre proposed characterizations of the locus of jacobians which use the linear system of 2Θ-divisors. We give new evidence for these conjectures in the case of Prym varieties.

Cited by

• Prym varieties and projective structures on Riemann surfaces

Related

• Some properties of second order theta functions on Prym varieties
• The Gauss map for bielliptic Prym varieties
• The boundary of the bielliptic Prym locus
• On the singularities of the theta divisors on Jacobians
• Singularities of 2theta-divisors in the Jacobian