A quotient of the Lubin-Tate tower
Algebraic Geometry
2017-08-30 v2 Number Theory
Abstract
In this article we show that the quotient of the Lubin-Tate space at infinite level by the Borel subgroup of upper triangular matrices in GL(2,Q_p) exists as a perfectoid space. As an application we show that Scholze's functor H^i_et(P^1,F(pi)) is concentrated in degree one whenever pi is a principal series representation or a twist of the Steinberg representation of GL(2,Q_p).
Keywords
Cite
@article{arxiv.1611.03685,
title = {A quotient of the Lubin-Tate tower},
author = {Judith Ludwig},
journal= {arXiv preprint arXiv:1611.03685},
year = {2017}
}
Comments
to appear in Forum of Mathematics, Sigma. 33 pages