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

Yufan Luo

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arXiv · 1811.01153

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

Yufan Luo

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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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Yufan Luo. 2018-11-03. Hodge-type decomposition for de Rham cohomology of $ p $-adically uniformized varieties. https://arxiv.org/abs/1811.01153

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