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arXiv · 2103.01800

Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3

Toshiyuki Katsura
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Abstract

For a nonsingular projective curve $C$ of genus 3 defined over an algebraically closed field of characteristic $p > 2$, we give a necessary and sufficient condition that the Jacobian variety $J(C)$ has a decomposed Richelot isogeny outgoing from it and we determine the structures of decomposed ones.

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Toshiyuki Katsura. 2021-03-02. Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3. https://arxiv.org/abs/2103.01800

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