Iterated Coleman integration for hyperelliptic curves
Iterated Coleman integration for hyperelliptic curves
复制标题
超椭圆曲线的迭代科尔曼积分
DOI：
10.2140/obs.2013.1.41
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Jennifer S. Balakrishnan
中科院分区：
文献类型：
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作者：
Jennifer S. Balakrishnan
Coleman积分是p进线积分。椭圆曲线上的二重Coleman积分出现在Kim的非abel Chabauty方法中，该方法的第一个数值例子是由作者、Kedlaya和Kim[3]给出的。本文描述了用于产生这些例子的算法，以及在超椭圆曲线上计算高迭代积分的技术，建立在先前与Bradshaw和Kedlaya[2]的联合工作的基础上。
The Coleman integral is a p-adic line integral. Double Coleman integrals on elliptic curves appear in Kim’s nonabelian Chabauty method, the first numerical examples of which were given by the author, Kedlaya, and Kim [3]. This paper describes the algorithms used to produce those examples, as well as techniques to compute higher iterated integrals on hyperelliptic curves, building on previous joint work with Bradshaw and Kedlaya [2].