Tropicalization of theta characteristics, double covers, and Prym varieties
Algebraic Geometry
2018-03-21 v2 Combinatorics
Abstract
We study the behavior of theta characteristics on an algebraic curve under the specialization map to a tropical curve. We show that each effective theta characteristic on the tropical curve is the specialization of even theta characteristics and odd theta characteristics. We then study the relationship between unramified double covers of a tropical curve and its theta characteristics, and use this to define the tropical Prym variety.
Keywords
Cite
@article{arxiv.1606.02282,
title = {Tropicalization of theta characteristics, double covers, and Prym varieties},
author = {David Jensen and Yoav Len},
journal= {arXiv preprint arXiv:1606.02282},
year = {2018}
}
Comments
20 pages, 7 figures