Characterization of products of theta divisors
Algebraic Geometry
2014-07-09 v2
Abstract
We study products of irreducible theta divisors from two points of view. On the one hand, we characterize them as normal subvarieties of abelian varieties such that a desingularization has holomorphic Euler characteristic 1. On the other hand, we identify them up to birational equivalence among all varieties of maximal Albanese dimension. We also describe the structure of maximal Albanese dimension varieties X with holomorphic Euler characteristic 1 and irregularity 2dim X-1.
Keywords
Cite
@article{arxiv.1303.6554,
title = {Characterization of products of theta divisors},
author = {Zhi Jiang and Martí Lahoz and Sofia Tirabassi},
journal= {arXiv preprint arXiv:1303.6554},
year = {2014}
}
Comments
31 pages; to appear in Compositio Math