Singularities of the Prym theta divisor
Algebraic Geometry
2015-03-13 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0405195,
title = {Singularities of the Prym theta divisor},
author = {Sebastian Casalaina-Martin},
journal= {arXiv preprint arXiv:math/0405195},
year = {2015}
}
Comments
51 pages, AMS Latex; some results strengthened