English

How to Compute a Puiseux Expansion

Algebraic Geometry 2008-07-30 v1

Abstract

In this paper, an explanation of the Newton-Peiseux algorithm is given. This explanation is supplemented with well-worked and explained examples of how to use the algorithm to find fractional power series expansions for all branches of a polynomial at the origin.

Keywords

Cite

@article{arxiv.0807.4674,
  title  = {How to Compute a Puiseux Expansion},
  author = {Nicholas J. Willis and Annie K. Didier and Kevin M. Sonnanburg},
  journal= {arXiv preprint arXiv:0807.4674},
  year   = {2008}
}
R2 v1 2026-06-21T11:05:29.871Z