Kummer surfaces and families of bielliptic curves of genus 3 with constant Prym

Abstract: We use some results of Haine on $(1,2)$-polarized abelian surfaces, as well as careful analysis of certain elliptic fibrations on Kummer surfaces, to construct 1-dimensional families of bielliptic curves of genus 3 for which the Prym variety is constant. This is joint work with Adrian Clingher, Andreas Malmendier, and Flora Poon.

number theory

Audience: researchers in the topic

Five College Number Theory Seminar