Products and Polarizations of Super-Isolated Abelian Varieties
Number Theory
2022-01-19 v2 Algebraic Geometry
Abstract
In this paper we study super-isolated abelian varieties, that is, abelian varieties over finite fields whose isogeny class contains a single isomorphism class. The goal of this paper is to (1) characterize whether a product of super-isolated varieties is super-isolated, and (2) characterize which super-isolated abelian varieties admit principal polarizations, and how many up to polarized isomorphisms.
Keywords
Cite
@article{arxiv.2008.05738,
title = {Products and Polarizations of Super-Isolated Abelian Varieties},
author = {Stefano Marseglia and Travis Scholl},
journal= {arXiv preprint arXiv:2008.05738},
year = {2022}
}
Comments
accepted version