COMPUTING THE MORDELL-WEIL RANK OF JACOBIANS OF CURVES OF GENUS-2

被引：25

作者：

GORDON, DM

GRANT, D

机构：

[1] UNIV GEORGIA,DEPT COMP SCI,ATHENS,GA 30602

[2] UNIV COLORADO,DEPT MATH,BOULDER,CO 80309

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 337卷 / 02期

关键词：

D O I：

10.2307/2154244

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive the equations necessary to perform a two-descent on the Jacobians of curves of genus two with rational Weierstrass points. We compute the Mordell-Weil rank of the Jacobian of some genus two curves defined over the rationals, and discuss the practicality of using this method.

引用

页码：807 / 824

页数：18

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