Modular Shimura varieties and forgetful maps
Number Theory
2008-04-25 v2 Algebraic Geometry
Abstract
We consider several maps that occur naturally between modular Shimura varieties, Hilbert-Blumenthal varieties and the moduli spaces of polarized abelian varieties when forgetting certain endomorphism structures. We prove that, up to birational equivalences, these forgetful maps coincide with the natural projection by suitable abelian groups of Atkin-Lehner involutions.
Keywords
Cite
@article{arxiv.math/0303163,
title = {Modular Shimura varieties and forgetful maps},
author = {Victor Rotger},
journal= {arXiv preprint arXiv:math/0303163},
year = {2008}
}
Comments
Minor modifications made