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arXiv · 1704.08956

On isogenies of Prym varieties

Roberto Laface·César Martínez
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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 $\mathcal{R}_{g}$ is not isogenous to another distinct Prym variety, under some mild assumption on $k$.

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Roberto Laface, César Martínez. 2017-04-28. On isogenies of Prym varieties. https://arxiv.org/abs/1704.08956

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