A BOUND FOR THE INDEX OF A QUADRATIC FORM AFTER SCALAR EXTENSION TO THE FUNCTION FIELD OF A QUADRIC

DOI10.1017/S1474748018000051zbMath1442.11062arXiv1607.07529OpenAlexW2964306359MaRDI QIDQ5221318

Stephen Scully

Publication date: 25 March 2020

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07529

zbMATH Keywords

quadratic formisotropyquadricrational mapfunction field of a quadricChow motiveisotropy indexquasilinear quadratic formquadratic Grassmannian

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Rational and birational maps (14E05) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (2)

Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics ⋮ Quasilinear quadratic forms and function fields of quadrics

Cites Work

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• On the splitting of quasilinear \(p\)-forms
• Hoffmann's conjecture for totally singular forms of prime degree
• Function fields of quadratic forms
• Essential dimension of quadrics
• On the first Witt index of quadratic forms
• Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics
• Isotropy of quadratic forms over the function field of a quadric
• Isotropy of quadratic forms over the function field of a quadric in characteristic 2
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Detection by regular schemes in degree two
• Birational geometry of quadrics in characteristic 2
• Generic Splitting of Quadratic Forms, I
• Generic Splitting of Quadratic Forms, II
• Quadratic forms and Pfister neighbors in characteristic 2
• On the first Steenrod square for Chow groups
• Rational maps between quasilinear hypersurfaces
• Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties
• Excellent connections in the motives of quadrics

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