Around 16-dimensional quadratic forms in \(I^3_q\)

DOI10.1007/s00209-016-1714-xzbMath1361.11023OpenAlexW2423691877MaRDI QIDQ510006

Nikita A. Karpenko

Publication date: 16 February 2017

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

Full work available at URL: https://doi.org/10.1007/s00209-016-1714-x

zbMATH Keywords

algebraic groupsChow groupsprojective homogeneous varietiesquadratic forms over fields

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Quadratic forms over general fields (11E04) Algebraic cycles (14C25)

Related Items (4)

Pfister Numbers over Rigid Fields ⋮ Indexes of generic Grassmannians for spin groups ⋮ On generic flag varieties for odd spin groups ⋮ Maximal indexes of flag varieties for spin groups

Cites Work

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• Essential dimension, spinor groups, and quadratic forms
• On 14-dimensional quadratic forms in \(I^3\), 8-dimensional forms in \(I^2\), and the common value property
• \(K\)-theory of algebraic tori and toric varieties
• Codimension 2 cycles on Severi-Brauer varieties
• Some new examples in the theory of quadratic forms
• On the Chow groups of quadratic Grassmannians
• On the algebraic \(K\)-theory of twisted flag varieties
• Essential dimension: a survey
• \(K\)-theoretic Schubert calculus for \(OG(n,2n+1)\) and jeu de taquin for shifted increasing tableaux
• Essential dimension of spinor and Clifford groups
• The torsion index of the spin groups
• Pieri rules for the K-theory of cominuscule Grassmannians
• Higher algebraic K-theory: I

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