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arXiv · 1401.2849

Towards a theory of local Shimura varieties

Michael Rapoport·Eva Viehmann
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Abstract

This is a survey article that advertizes the idea that there should exist a theory of p-adic local analogues of Shimura varieties. Prime examples are the towers of rigid-analytic spaces defined by Rapoport-Zink spaces, and we also review their theory in the light of this idea. We also discuss conjectures on the $\ell$-adic cohomology of local Shimura varieties.

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Michael Rapoport, Eva Viehmann. 2014-01-13. Towards a theory of local Shimura varieties. https://arxiv.org/abs/1401.2849

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