An upper bound on the essential dimension of a central simple algebra.

DOI10.1016/j.jalgebra.2009.09.019zbMath1239.16023arXiv0907.4496OpenAlexW1965017761WikidataQ117378437 ScholiaQ117378437MaRDI QIDQ549998

Aurel Meyer, Zinovy Reichstein

Publication date: 19 July 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4496

zbMATH Keywords

Brauer groupscentral simple algebraslatticesChow groupsessential dimensionessential \(p\)-dimension\(R\)-equivalencecharacter groups of algebraic toriprojective linear groupsSeveri-Brauer varieties

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Group actions on varieties or schemes (quotients) (14L30) Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50) Galois cohomology of linear algebraic groups (11E72)

Related Items (6)

Essential dimension: a survey ⋮ Essential dimension of involutions and subalgebras ⋮ Essential dimension ⋮ Coverings over tori and topological approach to Klein's resolvent problem ⋮ Essential \(p\)-dimension of \(\text{PGL}_n\). ⋮ Open problems on central simple algebras.

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• Essential Dimensions of Algebraic Groups and a Resolution Theorem for G-Varieties
• FIELDS OF DEFINITION FOR DIVISION ALGEBRAS
• Comparison of some field invariants

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