The Newton Procedure for several variables

Details The Newton Procedure for several variables The Newton Procedure for several variables

2006-12-21

arxiv.org/abs/math/0612656v1

Mathematics

Commutative Algebra

Scientific paper

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.

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