Tropicalization of theta characteristics, double covers, and Prym varieties

David Jensen, Yoav Len

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

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 languageEnglish
Pages (from-to)1391-1410
Number of pages20
JournalSelecta Mathematica, New Series
Volume24
Issue number2
DOIs
StatePublished - 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

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