Explicit Coleman integration for hyperelliptic curves
Number Theory
2010-05-06 v2
Abstract
Coleman's theory of p-adic integration figures prominently in several number-theoretic applications, such as finding torsion and rational points on curves, and computing p-adic regulators in K-theory (including p-adic heights on elliptic curves). We describe an algorithm for computing Coleman integrals on hyperelliptic curves, and its implementation in Sage.
Cite
@article{arxiv.1004.4936,
title = {Explicit Coleman integration for hyperelliptic curves},
author = {Jennifer S. Balakrishnan and Robert W. Bradshaw and Kiran S. Kedlaya},
journal= {arXiv preprint arXiv:1004.4936},
year = {2010}
}
Comments
16 pages; v2: final submission to ANTS 9