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.
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页码：130 / 146
页数：17
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