A note on obstructions to weak approximation and Brauer and R-equivalence relations for homogeneous spaces over global fields

被引：0

作者：

Thang, Nguyen Quoc ^{[1
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi, Vietnam

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2022年 / 98卷 / 09期

关键词：

Brauer groups; Brauer equivalence; R-equivalence; Weak approximation; Galois reductive; CONNECTED REDUCTIVE GROUPS; GALOIS COHOMOLOGY; ALGEBRAIC-GROUPS; VARIETIES;

D O I：

10.3792/pjaa.98.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give some new formulae relating an obstruction to the weak approximation on homogeneous spaces to the set of local and global Brauer and R-equivalence classes.

引用

页码：84 / 89

页数：6

共 16 条

[1] BoRovoi M., 1999, Ann. Fac. Sci. Toulouse Math., V8, P219
[2] Colliot-Thélène JL, 2008, J REINE ANGEW MATH, V618, P77
[3] Colliot-Thélène JL, 2004, DUKE MATH J, V121, P285
[4] Colliot-Thlne JL., 1987, Duke Math. J, V54, P375, DOI [10.1215/S0012-7094-8, 10.1215/S0012-7094-87-05420-2, DOI 10.1215/S0012-7094-87-05420-2]
[5] COLLIOTTHELENE JL, 1977, ANN SCI ECOLE NORM S, V10, P175
[6] Rationally connected varieties over local fields
Kollár, J
[J]. ANNALS OF MATHEMATICS, 1999, 150 (01) : 357 - 367
[7] RATIONAL VARIETIES - ALGEBRA, GEOMETRY AND ARITHMETIC
MANIN, YI
TSFASMAN, MA
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1986, 41 (02) : 51 - 116
[8] Thaag NQ, 2020, ANN SCUOLA NORM-SCI, V20, P1009
[9] On Galois cohomology of connected reductive groups and Kottwitz exact sequence
Nguyen Quoc Thang
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2019, 151 : 66 - 138
[10] On Galois cohomology of semisimple groups over local and global fields of positive characteristic, III
Nguyen Quoc Thang
[J]. MATHEMATISCHE ZEITSCHRIFT, 2013, 275 (3-4) : 1287 - 1315

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