An explicit expression of the Richelot isogeny through Kleinian hyperellyptic functions
arXiv:2603.20754
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.