On the Galois and flat cohomology of unipotent algebraic groups over local and global function fields. I

DOI10.1016/j.jalgebra.2008.01.027zbMath1149.11020OpenAlexW2004665869MaRDI QIDQ934095

Nguyêñ Quôć Thǎńg, Nguyễn Duy Tân

Publication date: 29 July 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.01.027

zbMATH Keywords

Galois cohomologyunipotent groupslocal-global principleflat cohomology

Mathematics Subject Classification ID

Cohomology theory for linear algebraic groups (20G10) Galois cohomology of linear algebraic groups (11E72)

Related Items (12)

Galois Cohomology of Unipotent Algebraic Groups and Field Extensions ⋮ On the topology on group cohomology of algebraic groups over complete valued fields ⋮ On the topology of relative orbits for actions of algebraic groups over complete fields ⋮ Projective varieties have countably many real forms ⋮ On Galois cohomology of semisimple groups over local and global fields of positive characteristic. II ⋮ On analogs of Cassels-Tate's exact sequence for connected reductive groups and Brauer-Manin obstruction for homogeneous spaces over global function fields ⋮ On the essential dimension of unipotent algebraic groups ⋮ On Galois cohomology of semisimple groups over local and global fields of positive characteristic. III ⋮ On the topology of relative and geometric orbits for actions of algebraic groups over complete fields ⋮ On the topology of geometric and rational orbits for algebraic group actions over valued fields ⋮ On an analog of Serre's conjectures, Galois cohomology and defining equation of unipotent algebraic groups ⋮ On Galois cohomology of unipotent algebraic groups over local fields

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