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Tropicalization of theta characteristics, double covers, and Prym varieties

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Author(s)

David Jensen, Yoav Len

School/Research organisations

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 2g-1 even theta characteristics and 2g-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.
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Details

Original languageEnglish
Pages (from-to)1391–1410
JournalSelecta Mathematica: New Series
Volume24
Issue number2
Early online date6 Jan 2018
DOIs
Publication statusPublished - Apr 2018

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