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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.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.otherPURE: 268424499
dc.identifier.otherPURE UUID: 1e9849e2-7841-44b0-9de1-270eab3e5cf6
dc.identifier.otherBibtex: JL
dc.identifier.otherScopus: 85040088086
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.language.isoeng
dc.relation.ispartofSelecta Mathematica: New Seriesen
dc.rightsCopyright © 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/s00029-017-0379-6en
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.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1007/s00029-017-0379-6
dc.description.statusPeer revieweden


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