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arXiv · 1408.3330

De Rham cohomology of rigid spaces

Elmar Grosse-Klönne
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Abstract

We define de Rham cohomology groups for rigid spaces over non-archimedean fields of characteristic zero, based on the notion of dagger space. We establish some functorial properties and a finiteness result, and discuss the relation to the rigid cohomology as defined by P. Berthelot.

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Elmar Grosse-Klönne. 2014-08-14. De Rham cohomology of rigid spaces. https://arxiv.org/abs/1408.3330

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