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

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2008年 / 40卷

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

页码：995 / 1001

页数：7

共 16 条

[1] SOME ELEMENTARY EXAMPLES OF UNIRATIONAL VARIETIES WHICH ARE NOT RATIONAL [J].

ARTIN, M ;

MUMFORD, D .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1972, 25 (JUL) :75-&

[2] HARDY-LITTLEWOOD VARIETIES AND SEMISIMPLE GROUPS [J].

BOROVOI, M ;

RUDNICK, Z .

INVENTIONES MATHEMATICAE, 1995, 119 (01) :37-66

[3]

COLLIOTTHELENE JL, 1987, LECT NOTES MATH, V1290, P1

[4]

COLLIOTTHELENE JL, COMPOSITIO IN PRESS

[5]

GABBER O., 1981, Groupe de Brauer, (Les Plans-sur-Bex 1980), V844, P129

[6]

Grothendieck A., 1968, 509 EXPOSES COHOMOLO, P46

[7]

Grothendieck A., 2003, DOCUMENTS MATH, V3

[8]

Hassett B, 2008, PURE APPL MATH Q, V4, P743

[9] Division algebras which only ramify along a hyperelliptic curve in P2 [J].

Jacob, B .

JOURNAL OF ALGEBRA, 2001, 242 (02) :720-728

[10] Division algebras that ramify only on a plane quartic curve [J].

Kunyavskii, BE ;

Rowen, LH ;

Tikhonov, SV ;

Yanchevskii, VI .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (04) :921-929

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