Abstract
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 Poincare duality theorems and explain the relation with Berthelot's rigid cohomology.
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Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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