Mathematics > Algebraic Geometry
[Submitted on 14 Aug 2014]
Title:Finiteness of de Rham cohomology in rigid analysis
View PDFAbstract: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.
Submission history
From: Elmar Grosse-Klönne [view email][v1] Thu, 14 Aug 2014 16:13:54 UTC (28 KB)
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