Isogenies of Prym varieties

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017Embargo end date: 30 Apr 2020 English Publisher:Università di Catania, Dipartimento di Matematica e Informatica, CataniaJournal:Le Matematiche, volume 72 (issn: 0373-3505, eissn: 2037-5298,

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Authors: Roberto Laface; César Martínez;

doi: 10.15488/9798 , 10.4418/2017.72.2.10

Isogenies of Prym varieties

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Abstract

We prove an extension of the Babbage-Enriques-Petri theorem for semi-canonical curves. We apply this to show that the Prym variety of a generic element of a codimension $k$ subvariety of $\kr_g$ is not isogenous to another distinct Prym variety, under some mild assumption on $k$.

Keywords

abelian varieties, Prym varieties, isogenies, semi-canonical curves, Jacobians, Prym varieties, Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik

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