The abc-theorem, Davenports inequality and elliptic surfaces

被引：3
|
作者：
Shioda, Tetsuji [1 ]
机构：
[1] Rikkyo Univ, Dept Math, Toshima Ku, Tokyo 1718501, Japan
来源：
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2008年 / 84卷 / 04期
关键词：
abc-theorem; elliptic surface;
D O I：
10.3792/pjaa.84.51
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the application of the abc-theorem and Davenport's inequality to elliptic surfaces over the projective line P-1, with special attention to the case of equality in the abc-theorem. Some existence theorem and the finiteness results will be given for certain type of elliptic surfaces.
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页码：51 / 56
页数：6
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