[图书][B] The Brauer-Grothendieck group

Jean-Louis Colliot-Thélène Alexei N. Skorobogatov Page 1 The Brauer– Grothendieck Group
Jean-Louis Colliot-Thélène Alexei N. Skorobogatov Ergebnisse der Mathematik und ihrer …

The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group)

JL Colliot-Th'elene, JJ Sansuc - arXiv preprint math/0507154, 2005 - arxiv.org
This is a survey on the ancient question: Let G be a reductive group over an algebraically
closed field k and let V be a vector space over k with an almost free linear action of G on V …

Problems about torsors over regular rings: With an appendix by yifei zhao

K Česnavičius - Acta Mathematica Vietnamica, 2022 - Springer
Problems About Torsors over Regular Rings | Acta Mathematica Vietnamica Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …

Points rationnels sur les fibrations

JL Colliot-Thélene - Higher dimensional varieties and rational points, 2003 - Springer
Resumé On trouvera ici une description de resultats récents sur les points rationnels des
variétés algébriques sur un corps de nombres, obtenus par la méthode de la descente et la …

Résolutions flasques des groupes linéaires connexes

JL Colliot - 2008 - degruyter.com
Sur un corps de nombres, une série de travaux importants a établi pour les groupes semi-
simples simplement connexes les propriétés suivantes. Ils satisfont l'approximation faible …

Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields

M Borovoi, B Kunyavskiı, P Gille - Journal of Algebra, 2004 - Elsevier
Let G be a connected linear algebraic group over a geometric field k of cohomological
dimension 2 of one of the types which were considered by Colliot-Thélène, Gille and …

Extended Picard complexes and linear algebraic groups

M Borovoi, J Van Hamel - 2009 - degruyter.com
For a smooth geometrically integral variety X over a field k of characteristic 0, we introduce
and investigate the extended Picard complex UPic (X). It is a certain complex of Galois …

Groupe de Picard et groupe de Brauer des compactifications lisses d'espaces homogènes

JL Colliot-Th'elene, BE Kunyavskii - arXiv preprint math/0502516, 2005 - arxiv.org
This is a thoroughly revised version of math. AG/0502516v1 (24 Feb. 2005). Let k be a field
of characteristic zero. Let Y= G/H, where G is a connected linear algebraic group over k and …

[PDF][PDF] The Brauer–Grothendieck group

JL Colliot-Thélene, AN Skorobogatov - Preprint, 2019 - wwwf.imperial.ac.uk
A less known event of 1968 in Paris was the publication of “Dix exposés sur la cohomologie
des schémas” by J. Giraud, A. Grothendieck, SL Kleiman, M. Raynaud and J. Tate. Included …

Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields

JL Colliot-Thélène, D Harbater, J Hartmann… - Transactions of the …, 2019 - ams.org
We study the existence of zero-cycles of degree one on varieties that are defined over a
function field of a curve over a complete discretely valued field. We show that local-global …