2013/01/11 by Guillaume Rond, Rond, Guillaume
Mathematics · #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG
paper · pdf · doi:10.48550/arxiv.1301.2419
To appear in Math. Res. Lett
arxiv created 2013/01/11 · arxiv updated 2013/01/14
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.