Birational geometry of quadrics

DOI10.24033/bsmf.2575zbMath1221.14014OpenAlexW600477854MaRDI QIDQ5190979

Burt Totaro

Publication date: 28 July 2009

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/137/html/smf_bull_137_253-276.html

zbMATH Keywords

quadratic formquadricPfister neighborbirational geometryruled varietyquadratic Zariski problemruledness conjecturehalf-neighborspecial neighbor

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Rational and birational maps (14E05) Algebraic cycles (14C25)

Related Items (6)

Symmetric locally free resolutions and rationality problems ⋮ Multiples of Pfister forms ⋮ On the rationality problem for quadric bundles ⋮ Rational maps between quasilinear hypersurfaces ⋮ On the indecomposable quadratic forms of the image of the homomorphism \(W(F) \to W(F(\varphi))\) ⋮ Birational equivalence of n-Pfister neighbors

Cites Work

• On multiples of round and Pfister forms
• Similarity of quadratic forms and half-neighbors
• Essential dimension of quadrics
• Function fields of Pfister neighbours
• A descent problem for quadratic forms
• The automorphism group of an affine quadric
• Generic Splitting of Quadratic Forms, I
• Generic Splitting of Quadratic Forms, II
• Formes Quadratiques de Dimension 6
• Fields of \(u\)-invariant \(9\)
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