Stable A1-homotopy and R-equivalence

被引:6
|
作者
Asok, Aravind [2 ]
Haesemeyer, Christian [1 ]
机构
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
[2] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/j.jpaa.2011.02.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that the existence of a k-rational point can be detected by the stable A(1-)homotopy category of S-1-spectra, or even a "rationalized" variant of this category. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:2469 / 2472
页数:4
相关论文
共 50 条
  • [1] On the Picard group of the stable A1-homotopy category
    Hu, P
    TOPOLOGY, 2005, 44 (03) : 609 - 640
  • [2] R-EQUIVALENCE ON TORES
    COLLIOTTHELENE, JL
    SANSUC, JJ
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1977, 10 (02): : 175 - 229
  • [3] On the zeroth stable A1-homotopy group of a smooth curve
    Ananyevskiy, Alexey
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (10) : 3195 - 3218
  • [4] R-equivalence in spinor groups
    Chernousov, V
    Merkurjev, A
    JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 14 (03) : 509 - 534
  • [5] R-Equivalence and A1-Connectedness in Anisotropic Groups
    Balwe, Chetan
    Sawant, Anand
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (22) : 11816 - 11827
  • [7] R-equivalence and special unitary groups
    Chernousov, V
    Merkurjev, A
    JOURNAL OF ALGEBRA, 1998, 209 (01) : 175 - 198
  • [8] A1-HOMOTOPY THEORY OF SCHEMES
    Morel, Fabien
    Voevodsky, Vladimir
    PUBLICATIONS MATHEMATIQUES, 1999, (90): : 45 - 143
  • [9] A1-Homotopy of Chevalley Groups
    Wendt, Matthias
    JOURNAL OF K-THEORY, 2010, 5 (02) : 245 - 287
  • [10] A1-homotopy theory of schemes
    Morel F.
    Voevodsky V.
    Publications Mathématiques de l'Institut des Hautes Études Scientifiques, 1999, 90 (1): : 45 - 143