Unramified cohomology of classifying varieties for classical simply connected groups1

DOI10.1016/S0012-9593(02)01097-2zbMath1022.14015OpenAlexW2000339815MaRDI QIDQ3146970

Alexander S. Merkurjev

Publication date: 18 September 2002

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2002_4_35_3_445_0

zbMATH Keywords

principal homogeneous spacesclassical simply connected groupsclassifying varietiesthird unramified Galois cohomology

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Galois cohomology (12G05) Classical groups (algebro-geometric aspects) (14L35) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items (6)

ESSENTIAL DIMENSION OF GENERIC SYMBOLS IN CHARACTERISTIC ⋮ On the topology on group cohomology of algebraic groups over complete valued fields ⋮ Unramified cohomology of classifying varieties for exceptional simply connected groups ⋮ On the Galois and flat cohomology of unipotent algebraic groups over local and global function fields. I ⋮ Degree 3 unramified cohomology of classifying spaces for exceptional groups ⋮ Unramified degree three invariants of reductive groups

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