Finiteness of De Rham Cohomology in Rigid Analysis

@inproceedings{GROSSEKLONNE2002FinitenessOD,
  title={Finiteness of De Rham Cohomology in Rigid Analysis},
  author={ELMAR GROSSE-KL̈ONNE},
  year={2002}
}
  • ELMAR GROSSE-KL̈ONNE
  • Published 2002
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. Introduction Let R be a… CONTINUE READING