Finiteness of de Rham cohomology in rigid analysis
Algebraic Geometry
2014-08-15 v1 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1408.3327,
title = {Finiteness of de Rham cohomology in rigid analysis},
author = {Elmar Grosse-Klönne},
journal= {arXiv preprint arXiv:1408.3327},
year = {2014}
}