Abelian varieties with finite abelian group action
Algebraic Geometry
2019-04-08 v1
Abstract
An automorphism of an abelian variety induces a decomposition of the variety up to isogeny. There are two such results, namely the isotypical decomposition and Roan's decomposition theorem. We show that they are essentially the same. Moreover, we generalize in a sense this result to abelian varieties with action of an arbitrary finite abelian group.
Keywords
Cite
@article{arxiv.1904.02764,
title = {Abelian varieties with finite abelian group action},
author = {Angel Carocca and Herbert Lange and Rubí E. Rodríguez},
journal= {arXiv preprint arXiv:1904.02764},
year = {2019}
}