Sur le caractère d’invariant Stablement Birationnel d'un Groupe de Tate–Shafarevich

DOI10.1080/00927872.2013.799176zbMath1296.11083OpenAlexW2071378909MaRDI QIDQ2876258

Mohamed A. Ould-Beddi, Jean-Claude Douai

Publication date: 18 August 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.799176

zbMATH Keywords

function fieldTate-Shafarevich groupPAC fieldsflasque resolutionstably birational invariant

Mathematics Subject Classification ID

Varieties over global fields (11G35) Brauer groups of schemes (14F22) Birational geometry (14E99)

Cites Work

• Principal homogeneous spaces under flasque tori; applications
• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Arithmetic of linear algebraic groups over 2-dimensional geometric fields
• Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields
• Flasque resolutions for connected reductive algebraic groups.
• Quasi-abelian crossed modules and nonabelian cohomology
• Groupe de Picard et groupe de Brauer des compactifications lisses d’espaces homogènes
• Global Norm-Residue Map over Quasi-Finite Field
• A Hasse principle for function fields over PAC fields

This page was built for publication: Sur le caractère d’invariant Stablement Birationnel d'un Groupe de Tate–Shafarevich