Hodge-type decomposition for de Rham cohomology of p -adically uniformized varieties

Abstract

We prove a Hodge-type decomposition for the de-Rham cohomology of p-adically uniformized varieties by the product of Drinfeld's symmetric spaces. It is based on work of Schneider, Stuhler, Iovita and Spiess on the cohomology of Drinfeld's symmetric space.

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