Finiteness of de Rham cohomology in rigid analysis
Elmar Grosse-Klönne
Source: Duke Math. J. Volume 113, Number 1
(2002), 57-91.
Abstract
For a large class of smooth dagger spaces–rigid spaces with overconvergent structure sheaf–we prove finite dimensionality of de Rham cohomology. This is enough to obtain finiteness of P. Berthelot's rigid cohomology also in the nonsmooth case. We need a careful study of de Rham cohomology in situations of semistable reduction.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1087575225
Mathematical Reviews number (MathSciNet): MR1905392
Digital Object Identifier: doi:10.1215/S0012-7094-02-11312-X
Zentralblatt MATH identifier: 01820902
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