The local-global exact sequence for Chow groups of zero-cycles

被引:6
作者
Liang, Yongqi [1 ]
机构
[1] Univ Paris 07, Inst Math Jussieu Paris Rive Gauche, F-75205 Paris 13, France
关键词
zero-cycles; local-global principle; Brauer-Manin obstruction; RATIONAL EQUIVALENCE; 0-CYCLES;
D O I
10.4310/MRL.2015.v22.n1.a9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A local-global sequence for Chow groups of zero-cycles involving Brauer groups has been conjectured to be exact for all proper smooth algebraic varieties. We apply existing methods to construct several new families of varieties verifying the exact sequence. The examples are explicit, they are normic bundles over the projective space.
引用
收藏
页码:169 / 182
页数:14
相关论文
共 17 条
  • [1] Quadratic polynomials represented by norm forms
    Browning, T. D.
    Heath-Brown, D. R.
    [J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 2012, 22 (05) : 1124 - 1190
  • [2] Colliot-Thelene J.-L., 1999, Proc. Sympos. Pure Math, V67, P1
  • [3] Colliot-Thelene J.-L., 1995, J THEOR NOMBR BORDX, V7, P51
  • [4] Colliot-Thelene J.-L., 2003, LONDON MATH SOC LECT, V303, P69
  • [5] COLLIOTTHELENE JL, 1979, COMPOS MATH, V39, P301
  • [6] ON THE CHOW GROUPS OF CERTAIN RATIONAL SURFACES - A SEQUEL TO A PAPER OF BLOCH,S.
    COLLIOTTHELENE, JL
    SANSUC, JJ
    [J]. DUKE MATHEMATICAL JOURNAL, 1981, 48 (02) : 421 - 447
  • [7] COLLIOTTHELENE JL, 1981, CR ACAD SCI I-MATH, V292, P723
  • [8] Derenthal U., BRAUER GROU IN PRESS
  • [9] Universal torsors and values of quadratic polynomials represented by norms
    Derenthal, Ulrich
    Smeets, Arne
    Wei, Dasheng
    [J]. MATHEMATISCHE ANNALEN, 2015, 361 (3-4) : 1021 - 1042
  • [10] Rational solutions of certain equations involving norms
    Heath-Brown, R
    Skorobogatov, A
    [J]. ACTA MATHEMATICA, 2002, 189 (02) : 161 - 177