PERIOD COMPUTATIONS FOR COVERS OF ELLIPTIC CURVES

被引：3
|
作者：
Rubinstein-Salzedo, Simon [1 ]
机构：
[1] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA
来源：
MATHEMATICS OF COMPUTATION | 2014年 / 83卷 / 289期
关键词：
LINEAR-FORMS; LOGARITHMS; DESSINS; MODULI; FIELD;
D O I：
10.1090/S0025-5718-2014-02797-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we construct algebraic equations for a curve C and a map f to an elliptic curve E, with pre-specified branching data. We do this by determining certain relations that the periods of C and E must satisfy and using these relations to approximate the coefficients to high precision. We then conjecture which algebraic numbers the coefficients are, and then we prove this conjecture to be correct.
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页码：2455 / 2470
页数：16
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