Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3

[摘要] For a non-singular projective curve C of genus 3 defined over an algebraically closed field of characteristic p not equal 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. (C) 2021 Published by Elsevier Inc.

[发布日期] 2021-12-15

[关键词] Algebraic curve;Genus 3;Jacobian variety;Richelot isogeny