Incompressibility of products of Weil transfers of generalized Severi-Brauer varieties

DOI10.1007/s00209-014-1393-4zbMath1346.14046OpenAlexW2011555251MaRDI QIDQ2339670

Nikita A. Karpenko

Publication date: 2 April 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-014-1393-4

zbMATH Keywords

algebraic groupscentral simple algebrasChow groups and motivesprojective homogeneous varietiesSeveri-Brauer varietiesWeil transfercanonical dimension and incompressibility

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Algebraic cycles (14C25) Brauer groups of schemes (14F22) (Equivariant) Chow groups and rings; motives (14C15) Brauer groups (algebraic aspects) (16K50)

Related Items (2)

Incompressible Grassmannians of isotropic subspaces ⋮ Essential dimension and canonical dimension of gerbes banded by groups of multiplicative type

Cites Work

• A numerical invariant for linear representations of finite groups
• Essential dimension of finite \(p\)-groups.
• Index reduction formulas for twisted flag varieties. II
• The Schur index and Moody's theorem
• Motivic decomposition of isotropic projective homogeneous varieties
• Index reduction formulas for twisted flag varieties. I
• Sufficiently generic orthogonal Grassmannians
• Upper Motives of Outer Algebraic Groups
• 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.
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