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On the sheaf cohomology of some p-adic period domains with coefficents in certain[...]
Cohomological computations
Setup
Introduction
Notations
Acknowledgements
Preliminaries
Split reductive groups
The BGG categories O and Op
The category of locally analytic representations
The functor F GP
Period domains
Filtered isocrystals
Slope homomorphism and Newton map
Parameterization of weakly admissible filtrations on isocrystals
Existence of weakly admissible filtrations
Geometric invariant theory
Synopsis
Cohomological computations
Setup
Geometrical properties of the complement of F`39`42`"613A``45`47`"603Awa
Algebraic local cohomology
Analytic local cohomology
Results
Outlook to the parabolic case
Appendix
Code for composition factors
Distribution types
References
Dissertation (PhD)
On the sheaf cohomology of some p-adic period domains with coefficents in certain line bundles / einegreicht von Christoph Spenke
Place and Date of Creation
[Wuppertal]
November 2022
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