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arXiv · 2012.12729

Cohomologie analytique des arrangements d'hyperplans

Damien Junger
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Abstract

In this article, we study the cohomology of some analytic sheaves on the complementary in the projective space of a suitable infinite collection of hyperplane like the Drinfel'd symetric space. In particular, the sheaf of invertible functions on these rigid spaces has no cohomology in degree greater or equal to $1$. This proves the vanishing of the Picard goup and the methods used give a convenient description of the global invertible functions.

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Damien Junger. 2020-12-23. Cohomologie analytique des arrangements d'hyperplans. https://doi.org/10.2140/ant.2023.17.1

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