Patching and weak approximation in isometry groups

DOI10.1090/tran/6921zbMath1427.11036arXiv1504.01280OpenAlexW2963717209MaRDI QIDQ5369019

Eva Bayer-Fluckiger, Uriya A. First

Publication date: 11 October 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01280

zbMATH Keywords

quadratic formorderweak approximationhereditary ordergenusHermitian formsesquilinear formHermitian categoryalgebraic patching

Mathematics Subject Classification ID

Bilinear and Hermitian forms (11E39) Class numbers of quadratic and Hermitian forms (11E41) Affine algebraic groups, hyperalgebra constructions (14L17) Orders in separable algebras (16H10)

Related Items (4)

An 8-periodic exact sequence of Witt groups of Azumaya algebras with involution ⋮ Orders that are étale-locally isomorphic ⋮ Cohomological invariants for \(G\)-Galois algebras and self-dual normal bases ⋮ Rationally isomorphic Hermitian forms and torsors of some non-reductive groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weil and Grothendieck approaches to adelic points
• Sesquilinear forms over rings with involution
• Hermitian categories, extension of scalars and systems of sesquilinear forms
• Witt's extension theorem for quadratic spaces over semiperfect rings
• Rationally isomorphic Hermitian forms and torsors of some non-reductive groups
• Applications of patching to quadratic forms and central simple algebras
• A remark on quadratic spaces over noncommutative semilocal rings
• Locally trivial principal homogeneous spaces
• Witt's theorem for noncommutative semilocal rings
• Quadratic and Hermitian forms in additive and Abelian categories
• Hermitian forms in additive categories: Finiteness results
• On weak approximation in algebraic groups and related varieties defined by systems of forms
• Torsors on the affine line
• Bass orders in non semisimple algebras
• Non unimodular Hermitian forms
• Introduction to quadratic forms
• Weak crossed-product orders over valuation rings.
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Valuation theory
• Algebraic K-theory III. Hermitian K-theory and geometric applications. Proceedings of the conference held at the Seattle Research Center of the Battelle Memorial Institute, from August 28 to September 8, 1972
• The Brauer Group of a Commutative Ring
• Forms in Odd Degree Extensions and Self-Dual Normal Bases
• Néron Models
• Fibres formelles d'un anneau local noethérien
• Maximal Orders

This page was built for publication: Patching and weak approximation in isometry groups