A log resolution for the theta divisor of a hyperelliptic curve
Algebraic Geometry
2024-12-13 v6
Abstract
In this paper, we prove that the theta divisor of a smooth hyperelliptic curve has a natural and explicit embedded resolution of singularities using iterated blowups of Brill-Noether subvarieties. We also show that the Brill-Noether stratification of the hyperelliptic Jacobian is a Whitney stratification.
Keywords
Cite
@article{arxiv.2206.07075,
title = {A log resolution for the theta divisor of a hyperelliptic curve},
author = {Christian Schnell and Ruijie Yang},
journal= {arXiv preprint arXiv:2206.07075},
year = {2024}
}
Comments
40 pages, final version, to appear in Algebraic Geometry