On the Picard group of the stable A1-homotopy category

被引：26
|
作者：
Hu, P [1 ]
机构：
[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
来源：
TOPOLOGY | 2005年 / 44卷 / 03期
基金：
美国国家科学基金会;
关键词：
stable A(1)-homotopy category; Pfister quadric; motivic cohomology; Picard group;
D O I：
10.1016/j.top.2004.12.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Picard group Morel and Voevodsky's stable A(1)-homotopy category, i.e. the group of objects invertible with respect to the smash product, and show that certain classes of A(1)-spectra constructed from Pfister quadrics are elements of this group. (C) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：609 / 640
页数：32
相关论文
共 50 条
  • [1] On the zeroth stable A1-homotopy group of a smooth curve
    Ananyevskiy, Alexey
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (10) : 3195 - 3218
  • [2] Stable A1-homotopy and R-equivalence
    Asok, Aravind
    Haesemeyer, Christian
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (10) : 2469 - 2472
  • [3] The Picard group of equivariant stable homotopy theory
    Fausk, H
    Lewis, LG
    May, JP
    ADVANCES IN MATHEMATICS, 2001, 163 (01) : 17 - 33
  • [4] On the Picard Group of the Stable Module Category for Infinite Groups
    Gomez, Juan Omar
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (16) : 11514 - 11539
  • [5] The spectrum of the equivariant stable homotopy category of a finite group
    Paul Balmer
    Beren Sanders
    Inventiones mathematicae, 2017, 208 : 283 - 326
  • [6] The spectrum of the equivariant stable homotopy category of a finite group
    Balmer, Paul
    Sanders, Beren
    INVENTIONES MATHEMATICAE, 2017, 208 (01) : 283 - 326
  • [7] A1-HOMOTOPY THEORY OF SCHEMES
    Morel, Fabien
    Voevodsky, Vladimir
    PUBLICATIONS MATHEMATIQUES, 1999, (90): : 45 - 143
  • [8] A1-Homotopy of Chevalley Groups
    Wendt, Matthias
    JOURNAL OF K-THEORY, 2010, 5 (02) : 245 - 287
  • [9] A1-homotopy theory of schemes
    Morel F.
    Voevodsky V.
    Publications Mathématiques de l'Institut des Hautes Études Scientifiques, 1999, 90 (1): : 45 - 143
  • [10] The simplicial suspension sequence in A1-homotopy
    Asok, Aravind
    Wickelgren, Kirsten
    Williams, Ben
    GEOMETRY & TOPOLOGY, 2017, 21 (04) : 2093 - 2160
12345