Tropicalization of theta characteristics, double covers, and Prym varieties
MetadataShow full item record
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.
Jensen , 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/s00029-017-0379-6
Selecta Mathematica: New Series
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