The Brauer group of multiplicative invariant fields

被引:0
|
作者
Saltman, DJ [1 ]
机构
[1] Univ Texas, Dept Math, Austin, TX 78712 USA
来源
ALGEBRA AND NUMBER THEORY | 2000年 / 208卷
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we give a description of the Brauer group of a multiplicative invariant field. In a subsequent paper we will use this description to describe the Brauer group of the center of the generic division algebra of degree n.
引用
收藏
页码:207 / 225
页数:19
相关论文
共 50 条
  • [1] MULTIPLICATIVE FIELD INVARIANTS AND THE BRAUER GROUP
    SALTMAN, DJ
    JOURNAL OF ALGEBRA, 1990, 133 (02) : 533 - 544
  • [2] Invariant Brauer group of an abelian variety
    Martin Orr
    Alexei N. Skorobogatov
    Domenico Valloni
    Yuri G. Zarhin
    Israel Journal of Mathematics, 2022, 249 : 695 - 733
  • [3] ON THE STRUCTURE OF THE BRAUER GROUP OF FIELDS
    MERKUREV, AS
    MATHEMATICS OF THE USSR-IZVESTIYA, 1985, 49 (04): : 141 - 157
  • [4] Invariant Brauer group of an abelian variety
    Orr, Martin
    Skorobogatov, Alexei N.
    Valloni, Domenico
    Zarhin, Yuri G.
    ISRAEL JOURNAL OF MATHEMATICS, 2022, 249 (02) : 695 - 733
  • [5] MULTIPLICATIVE GROUP COMPLEXES AND UNRAMIFIED BRAUER GROUP OF HOMOGENEOUS SPACES
    Borovoi, Mikhail
    Demarche, Cyril
    Harari, David
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2013, 46 (04): : 651 - 692
  • [6] Multiplicative Invariant Fields of Dimension ≤ 6
    Hoshi, Akinari
    Kang, Ming-chang
    Yamasaki, Aiichi
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 283 (1403) : 1 - 137
  • [7] The smallest invariant factor of the multiplicative group
    Chang, Ben
    Martin, Greg
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2020, 16 (06) : 1377 - 1405
  • [8] Reduction in the rationality problem for multiplicative invariant fields
    Lemire, NMA
    JOURNAL OF ALGEBRA, 2001, 238 (01) : 51 - 81
  • [9] SUBGROUPS OF MULTIPLICATIVE GROUP OF SKEW FIELDS
    LICHTMAN, A
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 63 (01) : 15 - 16
  • [10] Invariant correlated optics fields driven by multiplicative noise
    Vargas Morales, M.
    Saldivia Gomez, E.
    Atenco Cuautle, J. C.
    Arenas Munoz, G.
    Garcia Guzman, A.
    Martinez Vara, P.
    Martinez Niconoff, G.
    APPLIED OPTICS, 2020, 59 (17) : 5343 - 5347