Hermitian forms over quaternion algebras

DOI10.1112/S0010437X14007556zbMath1329.11028OpenAlexW2153827266MaRDI QIDQ5173072

Nikita A. Karpenko, Alexander S. Merkurjev

Publication date: 6 February 2015

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x14007556

zbMATH Keywords

GrassmanniansChow groups and motivesprojective homogeneous varietiesHermitian and quadratic forms

Mathematics Subject Classification ID

Bilinear and Hermitian forms (11E39) Algebraic cycles (14C25) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (2)

Incompressible Grassmannians of isotropic subspaces ⋮ Multiples of Pfister forms

Cites Work

• Isotropy of unitary involutions
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• Motivic decomposition of isotropic projective homogeneous varieties
• Index reduction formulas for twisted flag varieties. I
• Unitary Grassmannians
• Sufficiently generic orthogonal Grassmannians
• Upper Motives of Outer Algebraic Groups
• Fields of u-Invariant 2 r + 1

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