Application of the Dem'jenenko-Manin method to certain families of curves of genus 2 and 3

被引：9

作者：

Kulesz, L

机构：

[1] Univ Paris 07, UFR Math, F-75251 Paris 05, France

[2] Univ Nacl Gen Sarmiento, Inst Desarollo Humano, RA-1663 Buenos Aires, DF, Argentina

来源：

JOURNAL OF NUMBER THEORY | 1999年 / 76卷 / 01期

关键词：

D O I：

10.1006/jnth.1998.2339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give examples of families of curves of genus 2 and 3 defined over Q with two independent morphisms to an elliptic curve of rank 1 over Q. The method of Dem'janenko-Manin may be applied and it will allow us to determine completely the set of rational points of any curve in the families that we consider. (C) 1999 Academic Press.

引用

页码：130 / 146

页数：17

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