Shimura coverings of Shimura curves and the Manin obstruction

被引：0

作者：

Skorobogatov, A ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

来源：

MATHEMATICAL RESEARCH LETTERS | 2005年 / 12卷 / 5-6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：

We prove that the counterexamples to the Hasse principle on Shimura curves over imaginary quadratic fields found by B. Jordan are accounted for by the Manin obstruction.

引用

页码：779 / 788

页数：10

共 15 条

[1]

BOUTOT JF, 1991, ASTERISQUE, P45

[2]

CLARK PL, 2003, THESIS HARVARD

[3]

JORDAN BW, 1986, J REINE ANGEW MATH, V371, P92

[4] LOCAL DIOPHANTINE PROPERTIES OF SHIMURA CURVES [J].

JORDAN, BW ;

LIVNE, RA .

MATHEMATISCHE ANNALEN, 1985, 270 (02) :235-248

[5]

JORDAN BW, 1981, THESIS HARVARD

[6] RATIONAL ISOGENIES OF PRIME DEGREE [J].

MAZUR, B .

INVENTIONES MATHEMATICAE, 1978, 44 (02) :129-162

[7]

ROTGER V, 2005, IN PRESS MOSCOW MATH, V5

[8]

Serre J. P., 1968, Corps locaux, VDeuxieme edition

[9] GOOD REDUCTION OF ABELIAN VARIETIES [J].

SERRE, JP ;

TATE, J .

ANNALS OF MATHEMATICS, 1968, 88 (03) :492-&

[10] CONSTRUCTION OF CLASS FIELDS AND ZETA FUNCTIONS OF ALGEBRAIC CURVES [J].

SHIMURA, G .

ANNALS OF MATHEMATICS, 1967, 85 (01) :58-+

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