On isogenies of Prym varieties

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 $k$.

arXiv comment8 pages

References in corpus (1)

• Isogenies of Jacobians