Implementing 2-descent for Jacobians of hyperelliptic curves

Implementing 2-descent for Jacobians of hyperelliptic curves
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实现超椭圆曲线雅可比行列式的 2-下降

DOI:
10.4064/aa98-3-4
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发表时间:
2001
期刊:
影响因子:
0.7
通讯作者:
M. Stoll
M. Stoll
中科院分区:
数学3区
文献类型:
--
作者:
M. Stoll

文献摘要

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本文较详细地描述了一种计算Q上超椭圆曲线的雅可比矩阵的2-Selmer群(大小)的算法。假定该曲线具有偶数亏格或具有q-有理的魏尔斯特拉点。
This paper gives a fairly detailed description of an algorithm that computes (the size of) the 2-Selmer group of the Jacobian of a hyperellitptic curve over Q. The curve is assumed to have even genus or to possess a Q-rational Weierstraa point.