Cohomological obstruction theory for Brauer classes and the period-index problem

DOI10.1017/is010011030jkt136zbMath1236.14023arXiv0909.2352OpenAlexW2168031020MaRDI QIDQ3112608

Benjamin Antieau

Publication date: 11 January 2012

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2352

zbMATH Keywords

Brauer groupsstable homotopy theorytwisted sheaveshigher algebraic \(K\)-theory

Mathematics Subject Classification ID

Brauer groups of schemes (14F22) Brauer groups (algebraic aspects) (16K50) Stable homotopy groups (55Q10) Symmetric monoidal categories (19D23) Stable homotopy of spheres (55Q45)

Related Items (5)

The period-index problem for twisted topological \(K\)-theory ⋮ Godeaux–Serre varieties and the étale index ⋮ Noncyclic division algebras over fields of Brauer dimension one ⋮ On a theorem of Hazrat and Hoobler ⋮ Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p

Cites Work

• On the K-theory of local fields
• Arithmetic of linear algebraic groups over 2-dimensional geometric fields
• The period-index problem for the Brauer group of an algebraic surface
• On the joints of Hensel rings
• Brauer groups and quotient stacks
• First quadrant spectral sequences in algebraic k-theory via homotopy colimits
• Twisted sheaves and the period-index problem

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