Equations for abelian subvarieties
Algebraic Geometry
2019-04-08 v1
Abstract
Given a finite group and an abelian variety acted on by , to any subgroup of , we associate an abelian subvariety on which the associated Hecke algebra for in acts. Any irreducible rational representation of induces an abelian subvariety of in a natural way. In this paper we give equations for this abelian subvariety. In a special case these equations become much easier. We work out some examples.
Cite
@article{arxiv.1904.02731,
title = {Equations for abelian subvarieties},
author = {Angel Carocca and Herbert Lange and Rubí E. Rodríguez},
journal= {arXiv preprint arXiv:1904.02731},
year = {2019}
}