A birational interpretation of Severi-Brauer varieties

DOI10.1080/00927872.2019.1648651zbMath1433.16020OpenAlexW2969179120MaRDI QIDQ4959853

Eliyahu Matzri

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1648651

zbMATH Keywords

division algebrassymbol algebrasSeveri-Brauer varieties

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50) Birational geometry (14E99)

Related Items (1)

Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction

Cites Work

• Unnamed Item
• Kummer spaces in symbol algebras of prime degree
• Symbol \(p\)-algebras of prime degree and their \(p\)-central subspaces
• Isotropic subspaces in symmetric composition algebras and Kummer subspaces in central simple algebras of degree 3
• Generic splitting fields of central simple algebras
• Norm polynomials and algebras
• Composition algebras and cyclic \(p\)-algebras in characteristic 3
• Tensor products of cyclic algebras of degree 4 and their Kummer subspaces
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• Symbol length in the Brauer group of a field
• Kummer subspaces of tensor products of cyclic algebras
• Isomorphisms of generic splitting fields of simple algebras.

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