Syzygy divisors on Hurwitz spaces
Algebraic Geometry
2018-05-03 v1
Abstract
We describe a sequence of effective divisors on the Hurwitz space for dividing and compute their cycle classes on a partial compactification. These divisors arise from vector bundles of syzygies canonically associated to a branched cover. We find that the cycle classes are all proportional to each other.
Cite
@article{arxiv.1805.00648,
title = {Syzygy divisors on Hurwitz spaces},
author = {Anand Deopurkar and Anand Patel},
journal= {arXiv preprint arXiv:1805.00648},
year = {2018}
}
Comments
13 pages. For the issue of Contemporary Mathematics titled "Higher genus curves in mathematical physics and arithmetic geometry."