18 citations · 40 across the 17 of their papers we have counts for
7 papers · 2 filters
On the -adic cohomology of some -adically uniformized varieties
Elmar Grosse-Klönne
Let be a finite extension of and let be Drinfel'd's symmetric space of dimension over . Let be a cocompact discrete (tor…
Sheaves of bounded -adic logarithmic differential forms
Elmar Grosse-Klönne
Let be a local field, the Drinfel'd symmetric space of dimension over and the natural formal -scheme underlying ; thus $G={\r…
The Cech filtration and monodromy in log crystalline cohomology
Elmar Grosse-Klönne
For a strictly semistable log scheme over a perfect field of characteristic we investigate the canonical Čech spectral sequence abutting to the Hyodo-Kato (log…
Frobenius and monodromy operators in rigid analysis, and Drinfel'd's symmetric space
Elmar Grosse-Klönne
We define Frobenius and monodromy operators on the de Rham cohomology of -dagger spaces (rigid spaces with overconvergent structure sheaves) with strictly semistable reduction $…
Compactifications of Log Morphisms
Elmar Grosse-Klönne
We introduce the notion of a relative log scheme with boundary: a morphism of log schemes together with a (log schematically) dense open immersion of its source into a third log sc…
Rigid analytic spaces with overconvergent structure sheaf
Elmar Grosse-Klönne
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 anal…
Finiteness of de Rham cohomology in rigid analysis
Elmar Grosse-Klönne
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 e…