THE EXPLICIT CALCULATION OF CECH COHOMOLOGY AND AN EXTENSION OF DAVENPORT'S INEQUALITY

被引：0
|
作者：
Tian, Ran . [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan
来源：
QUARTERLY JOURNAL OF MATHEMATICS | 2013年 / 64卷 / 02期
关键词：
D O I：
10.1093/qmath/has012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We extend Davenport's inequality to general elliptic curves over <copf>(t) written in Weierstrass forms. The obtained result is an effective version of a result by Voloch, and also improves a bound given by Hindry-Silverman. The method depends on an explicit calculation of the Cech cohomology of sheaves of differentials on an elliptic surface.
引用
收藏
页码：591 / 618
页数：28
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