New cases of p-adic uniformization

2013/02/14 by Stephen Kudla, Kudla, Stephen, Michael Rapoport +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1302.3521

revised version with thanks to the referee

arxiv created 2013/12/30 · arxiv updated 2014/01/03

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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