The de Rham cohomology of Drinfeld's half space
Number Theory
2014-08-08 v2 Algebraic Geometry
Representation Theory
Abstract
Let X be Drinfeld's half space over a p-adic field K. The de Rham cohomology of X was first computed by Schneider and Stuhler. Afterwards there were given different proofs by Alon, de Shalit, Iovita and Spiess. This paper presents yet another approach for the determination of these invariants by analysing the de Rham complex of X from the viewpoint of recent results by the author.
Keywords
Cite
@article{arxiv.1304.3132,
title = {The de Rham cohomology of Drinfeld's half space},
author = {Sascha Orlik},
journal= {arXiv preprint arXiv:1304.3132},
year = {2014}
}
Comments
12 pages, we added a section on the dual BGG complex in the sense of Faltings resp.Schneider