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 2 g-1 even theta characteristics and 2 g-1 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.
Original language | English |
---|---|
Pages (from-to) | 1391-1410 |
Number of pages | 20 |
Journal | Selecta Mathematica, New Series |
Volume | 24 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1 2018 |
Bibliographical note
Publisher Copyright:© 2018, Springer International Publishing AG, part of Springer Nature.
Keywords
- 14H40
- 14T05
ASJC Scopus subject areas
- General Mathematics
- General Physics and Astronomy