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

Published 3 Nov 2018 in math.AG and math.NT | (1811.01153v1)

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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