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タイトル: | An atlas of the Richelot isogeny graph (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties) |
著者: | FLORIT, ENRIC SMITH, BENJAMIN |
キーワード: | 14K02 14G50 14H37 11G10 Richelot isogenies superspecial abelian varieties isogeny graphs |
発行日: | Jun-2022 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B90 |
開始ページ: | 195 |
終了ページ: | 219 |
抄録: | We describe and illustrate the local neighbourhoods of vertices and edges in the (2, 2)- isogeny graph of principally polarized abelian surfaces, considering the action of automorphisms. Our diagrams are intended to build intuition for number theorists and cryptographers investigating isogeny graphs in dimension/genus 2, and the superspecial isogeny graph in particular. |
著作権等: | © 2022 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. |
URI: | http://hdl.handle.net/2433/276282 |
出現コレクション: | B90 Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties |
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