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arxiv: 1811.01153 · v1 · pith:O5ANZQB5new · submitted 2018-11-03 · 🧮 math.AG · math.NT

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

classification 🧮 math.AG math.NT
keywords cohomologyadicallydecompositiondrinfeldhodge-typesymmetricuniformizedvarieties
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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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