Abelian surfaces admitting an (l,l)-endomorphism
Algebraic Geometry
2013-02-13 v2 Number Theory
Abstract
We give a classification of all principally polarized abelian surfaces that admit an -isogeny to themselves, and show how to compute all the abelian surfaces that occur. We make the classification explicit in the simplest case . As part of our classification, we also show how to find all principally polarized abelian surfaces with multiplication by a given imaginary quadratic order.
Cite
@article{arxiv.1106.1884,
title = {Abelian surfaces admitting an (l,l)-endomorphism},
author = {Reinier Broker and Kristin Lauter and Marco Streng},
journal= {arXiv preprint arXiv:1106.1884},
year = {2013}
}
Comments
25 pages