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On the generic part of the cohomology of compact unitary Shimura varieties
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On the generic part of the cohomology of compact unitary Shimura varieties
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Journal Article
On the generic part of the cohomology of compact unitary Shimura varieties
2017
Overview
The goal of this paper is to show that the cohomology of compact unitary Shimura varieties is concentrated in the middle degree and torsion-free, after localizing at a maximal ideal of the Hecke algebra satisfying a suitable genericity assumption. Along the way, we establish various foundational results on the geometry of the Hodge-Tate period map. In particular, we compare the fibres of the Hodge-Tate period map with Igusa varieties.
Publisher
Department of Mathematics at Princeton University
Subject
