Tropicalization of theta characteristics, double covers, and Prym varieties

David Jensen; Yoav Len

doi:10.1007/s00029-017-0379-6

Tropicalization of theta characteristics, double covers, and Prym varieties

David Jensen, Yoav Len

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

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
Journal	Selecta Mathematica: New Series
Volume	24
Issue number	2
Early online date	6 Jan 2018
DOIs	https://doi.org/10.1007/s00029-017-0379-6
Publication status	Published - Apr 2018

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Copyright © 2018 Springer International AG, part of Springer Nature. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1007/s00029-017-0379-6
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Yoav Len
- yoav.lenst-andrews.acuk
- Pure Mathematics - Lecturer in Pure Mathematics
Person: Academic

Cite this

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Tropicalization of theta characteristics, double covers, and Prym varieties

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