Spanning isogeny classes of principally polarized abelian surfaces with RM
Number Theory
2024-05-31 v1
Abstract
We describe how isogenies between principally polarized abelian surfaces (PPAS) with real multiplication (RM) can be decomposed into elementary isogeny types. This leads to a strategy for enumerating the isogeny class of a given PPAS with RM. This note is part of an ongoing work with R. van Bommel, S. Chidambaram, and E. Costa and is not indended for separate publication.
Keywords
Cite
@article{arxiv.2405.19820,
title = {Spanning isogeny classes of principally polarized abelian surfaces with RM},
author = {Jean Kieffer},
journal= {arXiv preprint arXiv:2405.19820},
year = {2024}
}
Comments
8 pages