Downloads: 108

Files in This Item:
File Description SizeFormat 
B90-13.pdf252.74 kBAdobe PDFView/Open
Title: An atlas of the Richelot isogeny graph (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties)
Keywords: 14K02
Richelot isogenies
superspecial abelian varieties
isogeny graphs
Issue Date: Jun-2022
Publisher: Research Institute for Mathematical Sciences, Kyoto University
Journal title: 数理解析研究所講究録別冊
Volume: B90
Start page: 195
End page: 219
Abstract: 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.
Rights: © 2022 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan.
Appears in Collections:B90 Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties

Show full item record

Export to RefWorks

Export Format: 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.