2 papers
math.AC2006
The Newton Procedure for several variables
M. J. Soto, J. L. Vicente
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…
math.AC2004
Pyramids and monomial blowing-ups
M. J. Soto, José L. Vicente
We show that a convex pyramid in R^n with apex at 0 can be brought to the first quadrant by a finite sequence of monomial blowing-ups if and only if its intersection with the oppos…