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arXiv · 1408.3327

Finiteness of de Rham cohomology in rigid analysis

Elmar Grosse-Klönne
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Abstract

For a big class of smooth dagger spaces --- dagger spaces are 'rigid spaces with overconvergent structure sheaf' --- we prove finite dimensionality of de Rham cohomology. This is enough to obtain finiteness of Berthelot's rigid cohomology also in the non-smooth case. We need a careful study of de Rham cohomology in situations of semi-stable reduction.

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Elmar Grosse-Klönne. 2014-08-14. Finiteness of de Rham cohomology in rigid analysis. https://arxiv.org/abs/1408.3327

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