On the Hilbert-Blumenthal moduli problem
Algebraic Geometry
2007-05-23 v3
Abstract
In this article we compare different conditions on abelian schemes with real multiplication which occur in the integral models of the Hilbert-Blumenthal Shimura variety considered by Rapoport, Deligne, Pappas and Kottwitz. We show that the models studied by Deligne/Pappas and Kottwitz are isomorphic over Spec Z_(p). We also examine the associated local models and prove that they are equal.
Keywords
Cite
@article{arxiv.math/0307325,
title = {On the Hilbert-Blumenthal moduli problem},
author = {Inken Vollaard},
journal= {arXiv preprint arXiv:math/0307325},
year = {2007}
}
Comments
33 pages, LaTeX, some typos corrected, to appear in Journal of the Inst. of Math. Jussieu, Cambridge University Press