Weak approximation, Brauer and R-equivalence in algebraic groups over arithmetical fields, II

被引:0
作者
Thang, NQ [1 ]
机构
[1] Inst Math, Hanoi 10000, Vietnam
来源
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2002年 / 42卷 / 02期
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 prove that certain natural birational. and arithmetic invariants of connected subgroups of linear algebraic groups all defined over a local or global field of characteristic 0 are bounded in terms of the ambient group and the base field.
引用
收藏
页码:305 / 316
页数:12
相关论文
共 13 条
[1]  
[Anonymous], 1977, ALGEBRAIC TORI
[2]   Formulas for the unramified Brauer group of a principal homogeneous space of a linear algebraic group [J].
Borovoi, M ;
Kunyavskii, B .
JOURNAL OF ALGEBRA, 2000, 225 (02) :804-821
[3]  
COLLIOTTHELENE JL, 1977, ANN SCI ECOLE NORM S, V10, P175
[4]   CLASSIFICATION OF FUNCTION FIELDS OF ALGEBRAIC TORI [J].
ENDO, S ;
MIYATA, T .
NAGOYA MATHEMATICAL JOURNAL, 1975, 56 (JAN) :85-104
[5]  
GILLE P, 1997, PUBL MATH IHES, V86, P199
[6]  
Lang S., 1983, Fundamentals of Diophantine Geometry, DOI [DOI 10.1007/978-1-4757-1810-2, 10.1007/978-1-4757-1810-2]
[7]   ON RELATIVE THEORY OF TAMAGAWA NUMBERS [J].
ONO, T .
ANNALS OF MATHEMATICS, 1965, 82 (01) :88-&
[8]  
SAMUEL P, 1966, B SCI MATH, V90, P89
[9]  
SANSUC JJ, 1981, J REINE ANGEW MATH, V327, P12
[10]  
Serre J. P., 1997, GALOIS COHOMOLOGY, DOI 10.1007/978-3-642-59141-9