Lojasiewicz inequality over the ring of power series in two variables
classification
🧮 math.AC
math.AG
keywords
artininequalitylojasiewiczpowerresultringseriesvariables
read the original 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.
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