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De Rham cohomology of rigid spaces

Published 14 Aug 2014 in math.AG and math.NT | (1408.3330v1)

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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