Homogeneous spaces, algebraic \(K\)-theory and cohomological dimension of fields

DOI10.4171/JEMS/1129MaRDI QIDQ2124250

Giancarlo Lucchini Arteche, Diego Izquierdo

Publication date: 19 April 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04668

zbMATH Keywords

homogeneous spacescohomological dimensionalgebraic \(K\)-theory

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Cohomological dimension of fields (12G10) Higher symbols, Milnor (K)-theory (19D45) Galois cohomology of linear algebraic groups (11E72)

Cites Work

• On a conjecture of Kato and Kuzumaki concerning Fano hypersurfaces
• Algebraic \(K\)-theory and the norm residue homomorphism
• The dimension of fields and algebraic \(K\)-theory
• Galois Cohomology
• Rost's cohomological invariants in positive characteristic
• Norm varieties
• Regular elements of semisimple algebraic groups
• Arithmetic of algebraic tori
• On a conjecture of Kato and Kuzumaki
• Zéro-cycles sur les espaces homogènes et problème de Galois inverse
• Grothendieck’s theorem on non-abelian 𝐻² and local-global principles
• SURFACES DE DEL PEZZO SANS POINT RATIONNEL SUR UN CORPS DE DIMENSION COHOMOLOGIQUE UN
• Le principe de Hasse pour les espaces homogènes : réduction au cas des stabilisateurs finis
• Central Simple Algebras and Galois Cohomology
• Linear algebraic groups.
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