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
相关论文
共 50 条
  • [1] On Popov's Explicit Formula and the Davenport Expansion
    Yang, Quan
    Mehta, Jay
    Kanemitsu, Shigeru
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (03) : 869 - 883
  • [2] On Popov’s explicit formula and the Davenport expansion
    Quan Yang
    Jay Mehta
    Shigeru Kanemitsu
    Czechoslovak Mathematical Journal, 2023, 73 : 869 - 883
  • [3] Equivalence of star products on a symplectic manifold;: an introduction to Deligne's Cech cohomology classes
    Gutt, S
    Rawnsley, J
    JOURNAL OF GEOMETRY AND PHYSICS, 1999, 29 (04) : 347 - 392
  • [4] AN EXPLICIT SEVEN-TERM EXACT SEQUENCE FOR THE COHOMOLOGY OF A LIE ALGEBRA EXTENSION
    Dekimpe, Karel
    Hartl, Manfred
    Wauters, Sarah
    COMMUNICATIONS IN ALGEBRA, 2016, 44 (03) : 1321 - 1349
  • [5] An Extension of Young's Inequality
    Mitroi, Flavia-Corina
    Niculescu, Constantin P.
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [6] AN EXTENSION OF TURAN'S INEQUALITY
    Nikolov, Geno
    Pillwein, Veronika
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (01): : 321 - 335
  • [7] An extension of Janson's inequality
    Roos, M
    RANDOM STRUCTURES & ALGORITHMS, 1996, 8 (03) : 213 - 227
  • [8] AN EXTENSION OF MULHOLLAND'S INEQUALITY
    Yang, Bicheng
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 3 (03): : 151 - 157
  • [9] Extension of Hilbert's inequality
    Krnic, Mario
    Pecaric, Josip
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) : 150 - 160
  • [10] An extension of Peleg's inequality
    Cesco, Juan C.
    Marchi, Ezio
    OPTIMIZATION, 2010, 59 (08) : 1275 - 1282
12345