2006/12/21 by María Soto, Soto, M. J., J. L. Vicente +1
Mathematics · #13F25 #15A04 #15A36 #Commutative Algebra (math.AC) #FOS: Mathematics #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.math/0612656
openalex publication_date 2006/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the roots of a Weierstrass polynomial on several variables are power series with rational exponents of bounded denominators, whose Newton diagrams are contained in an S-cone. As an application, in Section 4 we deal with some topics of integral dependence of Puiseux power series.