Singularities of the Prym theta divisor

• 成果类型: Article
• 署名作者: Casalaina-Martin, Sebastian
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2009.170.163
• 发表日期: 2009
• 页码: 163-204
• 关键词: varieties; THEOREM; geometry; riemann; curve; map

摘要

For the Jacobian of a curve, the Riemann singularity theorem gives a geometric interpretation of the singularities of the theta divisor in terms of special linear series on the curve. This paper proves an analogous theorem for Prym varieties. Applications of this theorem to cubic threefolds and Prym varieties of dimension five are also considered.