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On the Hilbert-Blumenthal moduli problem

Inken Vollaard
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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.

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Inken Vollaard. 2005-07-13. On the Hilbert-Blumenthal moduli problem. https://arxiv.org/abs/math/0307325

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