Two examples of Brauer-Manin obstruction to integral points

被引:10
|
作者
Kresch, Andrew [1 ]
Tschinkel, Yuri [2 ]
机构
[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland
[2] Courant Inst, New York, NY 10012 USA
基金
美国国家科学基金会;
关键词
D O I
10.1112/blms/bdn081
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give two examples of Brauer-Manin obstructions to integral points on open subsets of the projective plane.
引用
收藏
页码:995 / 1001
页数:7
相关论文
共 50 条
  • [1] The Brauer-Manin obstruction for integral points on curves
    Harari, David
    Voloch, Jose Felipe
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2010, 149 : 413 - 421
  • [2] Brauer-Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
    Colliot-Thelene, Jean-Louis
    Xu, Fei
    COMPOSITIO MATHEMATICA, 2009, 145 (02) : 309 - 363
  • [3] Brauer-Manin obstruction for integral points on Markoff-type cubic surfaces
    Dao, Quang-Duc
    JOURNAL OF NUMBER THEORY, 2024, 254 : 65 - 102
  • [4] Degree and the Brauer-Manin obstruction
    Creutz, Brendan
    Viray, Bianca
    Skorobogatov, Alexei N.
    ALGEBRA & NUMBER THEORY, 2018, 12 (10) : 2445 - 2470
  • [5] Pathologies of the Brauer-Manin obstruction
    Colliot-Thelene, Jean-Louis
    Pal, Ambrus
    Skorobogatov, Alexei N.
    MATHEMATISCHE ZEITSCHRIFT, 2016, 282 (3-4) : 799 - 817
  • [6] Insufficiency of the Brauer-Manin Obstruction for Rational Points on Enriques Surfaces
    Balestrieri, Francesca
    Berg, Jennifer
    Manes, Michelle
    Park, Jennifer
    Viray, Bianca
    DIRECTIONS IN NUMBER THEORY, 2016, 3 : 1 - 31
  • [7] Heuristics for the Brauer-Manin obstruction for curves
    Poonen, Bjorn
    EXPERIMENTAL MATHEMATICS, 2006, 15 (04) : 415 - 420
  • [8] Efficient evaluation of the Brauer-Manin obstruction
    Bright, Martin
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2007, 142 : 13 - 23
  • [9] GOOD REDUCTION OF THE BRAUER-MANIN OBSTRUCTION
    Colliot-Thelene, Jean-Louis
    Skorobogatov, Alexei N.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 365 (02) : 579 - 590
  • [10] Descent obstruction and Brauer-Manin etale obstruction
    Demarche, Cyril
    ALGEBRA & NUMBER THEORY, 2009, 3 (02) : 237 - 254