On the algebraicity of Puiseux series
Commutative Algebra
2018-11-08 v2
Abstract
We deal with the algebraicity of a Puiseux series in terms of the properties of its coefficients. We show that the algebraicity of a Puiseux series for given bounded degree is determined by a finite number of explicit polynomial formulae. Conversely, given a vanishing polynomial, there is a closed-form formula for the coefficients of the series in terms of the coefficients of the polynomial and of an initial part of the series.
Keywords
Cite
@article{arxiv.1503.04965,
title = {On the algebraicity of Puiseux series},
author = {Michel Hickel and Mickaël Matusinski},
journal= {arXiv preprint arXiv:1503.04965},
year = {2018}
}
Comments
19 pages