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arXiv · 2603.20754

An explicit expression of the Richelot isogeny through Kleinian hyperellyptic functions

Matvey Smirnov
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Abstract

We find an explicit expression for the Richelot isogeny of Kummer surfaces of genus 2 curves in terms of Kleinian hyperelliptic functions of weight 2. We use this expression to relate Kleinian hyperelliptic functions associated to Richelot isogenous curves.

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Matvey Smirnov. 2026-03-21. An explicit expression of the Richelot isogeny through Kleinian hyperellyptic functions. https://arxiv.org/abs/2603.20754

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