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Local models for ramified unitary groups

Nicole Kraemer
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Abstract

In this article, we study local models associated to certain Shimura varieties. In particular, we present a resoultion of their singularities. As a consequence, we are able to determine the alternating semisimple trace of the geometric Frobenius on the sheaf of nearby cycles.

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Nicole Kraemer. 2003-02-03. Local models for ramified unitary groups. https://arxiv.org/abs/math/0302025

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