Birational geometry of quadrics in characteristic 2

DOI10.1090/S1056-3911-08-00472-4zbMath1144.11031arXivmath/0608098MaRDI QIDQ3518214

Burt Totaro

Publication date: 7 August 2008

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608098

zbMATH Keywords

quadratic formsquadricessential dimensionbirational equivalenceruled quadricquadratic Zariski problemquasilinear quadricruledness conjecture

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Rational and birational maps (14E05) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (12)

Retracted article: Some pathologies of Fano manifolds in positive characteristic ⋮ Essential dimension: a survey ⋮ Some invariants of a field of characteristic 2 associated to the \(\hat{u}\)-invariant ⋮ Chow groups of quadrics in characteristic two ⋮ Graded Witt kernels of the compositum of multiquadratic extensions with the function fields of Pfister forms ⋮ Motivic Steenrod operations in characteristicp ⋮ Rational maps between quasilinear hypersurfaces ⋮ On fibrations whose geometric fibers are nonreduced ⋮ A BOUND FOR THE INDEX OF A QUADRATIC FORM AFTER SCALAR EXTENSION TO THE FUNCTION FIELD OF A QUADRIC ⋮ Quasilinear quadratic forms and function fields of quadrics ⋮ Isotropy of 5-dimensional quadratic forms over the function field of a quadric in characteristic 2 ⋮ An ultimate proof of Hoffmann-Totaro's conjecture

Cites Work

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• Quadratic forms and Pfister neighbors in characteristic 2
• The Zariski problem for function fields of quadratic forms
• Zero Cycles on Quadric Hypersurfaces

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