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De Rham cohomology of rigid spaces

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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 introduced in [12]. We establish some functorial properties and a finiteness result, and discuss the relation to the rigid cohomology as defined by P. Berthelot [2].

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  1. Mathematisches Institut der Universität Münster, Einsteinstrasse 62, 48149, Münster, Germany

    Elmar Große-Klönne

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  1. Elmar Große-Klönne
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Correspondence to Elmar Große-Klönne.

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Große-Klönne, E. De Rham cohomology of rigid spaces. Math. Z. 247, 223–240 (2004). https://doi.org/10.1007/s00209-003-0544-9

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