Unitary Grassmannians of division algebras

DOI10.1007/s00031-015-9337-6zbMath1362.14049OpenAlexW2172878660MaRDI QIDQ265480

Nikita A. Karpenko

Publication date: 4 April 2016

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00031-015-9337-6

zbMATH Keywords

algebraic groupsquadratic formsChow groups and motivesprojective homogenuous varieties

Mathematics Subject Classification ID

Algebraic cycles (14C25) Affine algebraic groups, hyperalgebra constructions (14L17)

Cites Work

• Isotropy of unitary involutions
• Hyperbolicity of orthogonal involutions
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• A proof of the Pfister factor conjecture
• Index reduction formulas for twisted flag varieties. II
• Motivic decomposition of isotropic projective homogeneous varieties
• Index reduction formulas for twisted flag varieties. I
• Galois cohomology of the classical groups over fields of cohomological dimension \(\leq 2\)
• Unitary Grassmannians
• Upper Motives of Outer Algebraic Groups
• Incompressibility of quadratic Weil transfer of generalized Severi–Brauer varieties
• Function fields of generalized brauer-severi varieties
• The Index of a Brauer Class on a Brauer-Severi Variety
• Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties
• Weil transfer of algebraic cycles.
• Hermitian analogue of a theorem of Springer
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