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arXiv · 2504.06502

Involutions of curves in abelian surfaces and their Jacobians

Katrina Honigs·Pijush Pratim Sarmah
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Abstract

We examine \'etale covers of genus two 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.

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Katrina Honigs, Pijush Pratim Sarmah. 2025-04-09. Involutions of curves in abelian surfaces and their Jacobians. https://arxiv.org/abs/2504.06502

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