New cases of p-adic uniformization

Stephen Kudla; Michael Rapoport

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arXiv · 1302.3521

New cases of p-adic uniformization

Stephen Kudla·Michael Rapoport

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Abstract

We prove a Cherednik style $p$-adic uniformization theorem for Shimura varieties associated to certain groups of unitary similitudes of size two over totally real fields. Our basic tool is the alternative modular interpretation of the Drinfeld $p$-adic halfplane of our earlier paper (arXiv 1108.5713)

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Stephen Kudla, Michael Rapoport. 2013-12-30. New cases of p-adic uniformization. https://arxiv.org/abs/1302.3521

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