Involutions of curves in abelian surfaces and their Jacobians
Volume 223 / 2026
Acta Arithmetica 223 (2026), 83-98
MSC: Primary 14H30; Secondary 14H40
DOI: 10.4064/aa250520-2-1
Published online: 17 March 2026
Abstract
We examine étale covers of genus 2 curves that occur in the linear system of a polarizing line bundle of type $(1,d)$ on a complex abelian surface. We give results counting fixed points of involutions on such curves as well as decomposing their Jacobians into isogenous products.
