Isogenies of Prym varieties

  • Roberto Laface Technische Universität München
  • Cèsar Martìnez Université de Caen Normandie

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 $k$.

Published
2017-11-15
Section
Articoli