The cohomology of period domains for reductive groups over local fields

Autor:	Sascha Orlik
Rok vydání:	2005
Předmět:	Discrete mathematics Pure mathematics Mathematics::Algebraic Geometry Period (periodic table) General Mathematics Flag (linear algebra) Structure (category theory) Étale cohomology Reductive group Cohomology Mathematics
Zdroj:	Inventiones mathematicae. 162:523-549
ISSN:	1432-1297 0020-9910
DOI:	10.1007/s00222-005-0452-1
Popis:	We compute the etale cohomology of period domains over local fields in the case of a basic isocrystal for quasi-split reductive groups. Period domains, which have been introduced by Rapoport and Zink [RZ], are open admissible rigid-analytic subsets of generalized flag varieties. They parametrize weakly admissible filtrations of a given isocrystal with additional structure of a reductive group.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f3be25a887c82ad4df0fa769371fa6ba https://doi.org/10.1007/s00222-005-0452-1 Zobrazit plný text záznamu Plný text ve formátu PDF