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The de Rham cohomology of Drinfeld's half space
Published 10 Apr 2013 in math.NT, math.AG, and math.RT | (1304.3132v2)
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.
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