The primitive cohomology of theta divisors
Algebraic Geometry
2014-10-23 v1
Abstract
The primitive cohomology of the theta divisor of a principally polarized abelian variety of dimension is a Hodge structure of level . The Hodge conjecture predicts that it is contained in the image, under the Abel-Jacobi map, of the cohomology of a family of curves in the theta divisor. We survey some of the results known about this primitive cohomology, prove a few general facts and mention some interesting open problems.
Keywords
Cite
@article{arxiv.1410.5868,
title = {The primitive cohomology of theta divisors},
author = {E. Izadi and J. Wang},
journal= {arXiv preprint arXiv:1410.5868},
year = {2014}
}
Comments
To appear in the proceedings of the conference on Hodge Theory and Classical Algebraic Geometry at the Ohio State University, May 2013