The field of moduli of quaternionic multiplication on abelian varieties
Number Theory
2007-05-23 v2 Algebraic Geometry
Abstract
We consider principally polarized abelian varieties with quaternionic multiplication over number fields and we study the field of moduli of their endomorphisms in relation to the set of rational points on suitable Shimura varieties.
Keywords
Cite
@article{arxiv.math/0409354,
title = {The field of moduli of quaternionic multiplication on abelian varieties},
author = {Victor Rotger},
journal= {arXiv preprint arXiv:math/0409354},
year = {2007}
}
Comments
This version corrects Proposition 4.2 and some misprints in section 4 that appeared in the published version