Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3

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.

17 pages. Proposition 5.2 in the first version is incorrect. This is a revised version. I also changed the title

Cited by in corpus (1)

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