English

A reinterpretation of Emerton's $p$-adic Banach spaces

Number Theory 2007-07-16 v2

Abstract

It is shown that the pp-adic Banach spaces introduced by Emerton are isomorphic to the cohomology groups of the sheaf of continuous \Qp\Q_{p}-valued functions on a certain space. Some applications of this result are discussed.

Keywords

Cite

@article{arxiv.0707.1936,
  title  = {A reinterpretation of Emerton's $p$-adic Banach spaces},
  author = {Richard Hill},
  journal= {arXiv preprint arXiv:0707.1936},
  year   = {2007}
}

Comments

7 pages