TORSION ON FAMILIES OF CURVES OF GENUS-G

被引：8

作者：

LEPREVOST, F

机构：

[1] D.M.I., Ecole Normale Supérieure, Paris, 75005, 45, rue d'Ulm

来源：

MANUSCRIPTA MATHEMATICA | 1992年 / 75卷 / 03期

关键词：

D O I：

10.1007/BF02567087

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct here, for l = 2g2 + 2g + 1 or 2g2 + 3g + 1, a family with one parameter of hyperelliptic curves of genus g over Q such that its jacobian has a point of order 1 rational over Q(t). When g = 2, the method allows to construct, for l = 17,19 or 21 a family with one parameter of hyperelliptic curves of genus 2 over Q such that its jacobian has a point of order l rational over Q(t).

引用

页码：303 / 326

页数：24