[Théorèmes de rigidité classiques pour la K-théorie]
Nous étendons les théorèmes de rigidité classiques pour la K-théorie au cadre équivariant de actions des groupes algébriques linéaire. Ces résultats concernent la rigidité pour les points rationels, les extensions de corps et les anneaux locaux henséliens.
We extend the classical rigidity results for K-theory to the equivariant setting of linear algebraic group actions. These results concern rigidity for rational points, field extensions, and Hensel local rings.
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@article{CRMATH_2009__347_23-24_1403_0,
author = {Yagunov, Serge and {\O}stv{\ae}r, Paul Arne},
title = {Rigidity for equivariant {\protect\emph{K}-theory}},
journal = {Comptes Rendus. Math\'ematique},
pages = {1403--1407},
publisher = {Elsevier},
volume = {347},
number = {23-24},
year = {2009},
doi = {10.1016/j.crma.2009.10.020},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2009.10.020/}
}
TY - JOUR AU - Yagunov, Serge AU - Østvær, Paul Arne TI - Rigidity for equivariant K-theory JO - Comptes Rendus. Mathématique PY - 2009 SP - 1403 EP - 1407 VL - 347 IS - 23-24 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2009.10.020/ DO - 10.1016/j.crma.2009.10.020 LA - en ID - CRMATH_2009__347_23-24_1403_0 ER -
%0 Journal Article %A Yagunov, Serge %A Østvær, Paul Arne %T Rigidity for equivariant K-theory %J Comptes Rendus. Mathématique %D 2009 %P 1403-1407 %V 347 %N 23-24 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2009.10.020/ %R 10.1016/j.crma.2009.10.020 %G en %F CRMATH_2009__347_23-24_1403_0
Yagunov, Serge; Østvær, Paul Arne. Rigidity for equivariant K-theory. Comptes Rendus. Mathématique, Tome 347 (2009) no. 23-24, pp. 1403-1407. doi : 10.1016/j.crma.2009.10.020. http://www.numdam.org/articles/10.1016/j.crma.2009.10.020/
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