Rigid analytic spaces with overconvergent structure sheaf
By Elmar Grosse-Klonne. 2014
67 citations recorded by the source corpus.
We introduce a category of ’rigid spaces with overconvergent structure sheaf’ which we call dagger spaces — this is the correct category in which de Rham cohomology in rigid analysis should be studied. We compare it with the (usual) category of rigid spaces, give Serre and Poincaré duality theorems and explain the relation with Berthelot’s rigid cohomology.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/591f80dcc2ed13c1429d0e534875f3b2b0338cb2
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In Geometry and Topology
- J. Thorne
- Michael Harris
- Richard Taylor
- T. Gee
- Peter Scholze
- Kai-Wen Lan
- David Geraghty
- Ana Caraiani
In Mathematical Physics
- J. Thorne
- Michael Harris
- Richard Taylor
- T. Gee
- Peter Scholze
- Kai-Wen Lan
- David Geraghty
- Ana Caraiani
Citations in the corpus
- On the rigid cohomology of certain Shimura varieties (2014, background): “1 of [27] are functorial under morphisms of the setup in that theorem.”