RATIONAL TORSION POINTS OF SOME JACOBIANS OF CURVES OF GENUS-2

被引：0
|
作者：
LEPREVOST, F [1 ]
机构：
[1] ECOLE NORMALE SUPER,DMI,F-75231 PARIS 05,FRANCE
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1993年 / 316卷 / 08期
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct here, for l = 21, 22, 23, 25, 26, 27 and 29 a curve of genus 2 definied over Q, such that its jacobian has a point of order l rational over Q. The method employed allows, for l = 24, to construct two such curves not Q-isomorphicBAR. We explicit also a family with one parameter of curves of genus 2 defined over Q, such that its jacobian has a subgroup isomorphic to Z/3ZxZ/9Z.
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页码：819 / 821
页数：3
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