English

New cases of p-adic uniformization

Algebraic Geometry 2014-01-03 v2

Abstract

We prove a Cherednik style pp-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 pp-adic halfplane of our earlier paper (arXiv 1108.5713)

Keywords

Cite

@article{arxiv.1302.3521,
  title  = {New cases of p-adic uniformization},
  author = {Stephen Kudla and Michael Rapoport},
  journal= {arXiv preprint arXiv:1302.3521},
  year   = {2014}
}

Comments

revised version with thanks to the referee

R2 v1 2026-06-21T23:26:24.868Z