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Tropicalization of theta characteristics, double covers, and Prym varieties

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dc.contributor.authorJensen, David
dc.contributor.authorLen, Yoav
dc.date.accessioned2020-06-24T14:30:05Z
dc.date.available2020-06-24T14:30:05Z
dc.date.issued2018-04
dc.identifier268424499
dc.identifier1e9849e2-7841-44b0-9de1-270eab3e5cf6
dc.identifier85040088086
dc.identifier.citationJensen , D & Len , Y 2018 , ' Tropicalization of theta characteristics, double covers, and Prym varieties ' , Selecta Mathematica: New Series , vol. 24 , no. 2 , pp. 1391–1410 . https://doi.org/10.1007/s00029-017-0379-6en
dc.identifier.issn1420-9020
dc.identifier.otherBibtex: JL
dc.identifier.otherORCID: /0000-0002-4997-6659/work/75610607
dc.identifier.urihttps://hdl.handle.net/10023/20141
dc.description.abstractWe 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.
dc.format.extent334571
dc.language.isoeng
dc.relation.ispartofSelecta Mathematica: New Seriesen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subjectBDCen
dc.subject.lccQAen
dc.titleTropicalization of theta characteristics, double covers, and Prym varietiesen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doi10.1007/s00029-017-0379-6
dc.description.statusPeer revieweden


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