Quadric surface bundles over surfaces

zbMath1345.14046arXiv1207.4105MaRDI QIDQ273850

Asher Auel, Venapally Suresh, Raman Parimala

Publication date: 22 April 2016

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4105

zbMATH Keywords

orthogonal groupquadratic formAzumaya algebra\(K3\) surfaceClifford algebraBrauer grouplocal-global principlecubic fourfoldquadric bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Fibrations, degenerations in algebraic geometry (14D06) Clifford algebras, spinors (15A66) Classical groups (algebro-geometric aspects) (14L35) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quadratic spaces; Clifford algebras (11E88)

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Quadratic forms and linear algebraic groups. Abstracts from the workshop held June 16--22, 2013. ⋮ Period-index and \(u\)-invariant questions for function fields over complete discretely valued fields ⋮ Involutions of Azumaya algebras ⋮ Symmetric locally free resolutions and rationality problems ⋮ Residual categories of quadric surface bundles ⋮ On the flat cohomology of binary norm forms ⋮ Involution surface bundles over surfaces ⋮ Fibrations in sextic del Pezzo surfaces with mild singularities ⋮ Colliot-Thélène's conjecture and finiteness of u-invariants ⋮ Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems ⋮ Surjectivity of the total Clifford invariant and Brauer dimension ⋮ Rationally isomorphic Hermitian forms and torsors of some non-reductive groups ⋮ Cycles, derived categories, and rationality ⋮ Models of quadric surface bundles

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