Lojasiewicz inequality over the ring of power series in two variables
Commutative Algebra
2013-01-14 v1 Algebraic Geometry
Abstract
We prove a Lojasiewicz type inequality for a system of polynomial equations with coefficients in the ring of formal power series in two variables. This result is an effective version of the Strong Artin Approximation Theorem. From this result we deduce a bound of Artin functions of isolated singularities.
Keywords
Cite
@article{arxiv.1301.2419,
title = {Lojasiewicz inequality over the ring of power series in two variables},
author = {Guillaume Rond},
journal= {arXiv preprint arXiv:1301.2419},
year = {2013}
}
Comments
To appear in Math. Res. Lett