Rigidity for equivariant K-theory

被引：5

作者：

Yagunov, Serge ^{[1
,2
]}

Ostvaer, Paul Arne ^{[3
]}

机构：

[1] VA Steklov Math Inst, St Petersburg 191011, Russia

[2] Univ Bielefeld, Fak Math, D-4800 Bielefeld, Germany

[3] Univ Oslo, Dept Math, Oslo, Norway

来源：

COMPTES RENDUS MATHEMATIQUE | 2009年 / 347卷 / 23-24期

关键词：

LOCAL-RINGS;

D O I：

10.1016/j.crma.2009.10.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. To cite this article: S. Yagunov, P.A. Ostvaer, C R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：1403 / 1407

页数：5

共 50 条

[41] ELLIPTIC ALGEBRAS AND EQUIVARIANT K-THEORY
GINZBURG, V
VASSEROT, E
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 319 (06): : 539 - 543
[42] GEOMETRIC EQUIVARIANT BORDISM AND K-THEORY
MADSEN, I
TOPOLOGY, 1986, 25 (02) : 217 - 227
[43] Equivariant K-theory of GKM bundles
Guillemin, Victor
Sabatini, Silvia
Zara, Catalin
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2013, 43 (01) : 31 - 45
[44] A decomposition of equivariant K-theory in twisted equivariant K-theories
Manuel Gomez, Jose
Uribe, Bernardo
INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (02)
[45] Equivariant K-theory of Bott towers. Application to the multiplicative structure of the equivariant K-theory offlag varieties
Willems, M
DUKE MATHEMATICAL JOURNAL, 2006, 132 (02) : 271 - 309
[46] Rigidity and vanishing theorems in K-theory
Liu, KF
Ma, XN
Zhang, WP
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 330 (04): : 301 - 305
[47] Gabber rigidity in hermitian K-theory
Land, Markus
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2023,
[48] Rigidity and vanishing theorems in K-theory
Liu, KF
Ma, XN
Zhang, WP
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2003, 11 (01) : 121 - 180
[49] Equivariant K-theory, groupoids and proper actions
Cantarero, Jose
JOURNAL OF K-THEORY, 2012, 9 (03) : 475 - 501
[50] Z2-EQUIVARIANT K-THEORY
PASCHKE, WL
LECTURE NOTES IN MATHEMATICS, 1985, 1132 : 362 - 373

← 1 2 3 4 5 →