English

Automorphisms of Products of Drinfeld Half Planes

Number Theory 2017-03-02 v1 Algebraic Geometry

Abstract

The Drinfeld upper half-planes play the role of symmetric spaces in the pp-adic analytic world. We find the automorphism group of a product of such spaces, where each may be defined over a different field. We deduce a rigidity theorem for quotients of such products by discrete and torsion free groups.

Keywords

Cite

@article{arxiv.1703.00059,
  title  = {Automorphisms of Products of Drinfeld Half Planes},
  author = {Gil Alon},
  journal= {arXiv preprint arXiv:1703.00059},
  year   = {2017}
}