Mathematical Research Letters
Volume 20 (2013)
Łojasiewicz inequality over the ring of power series in two variables
Pages: 325 – 337
We prove a Łojasiewicz 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.