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Showing 2006 · math.ACShow all
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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.AC2006★ 2 cited
Rank one discrete valuations of power series fields
F. J. Herrera Govantes, M. A. Olalla Acosta, J. L. Vicente Cordoba
In this paper we study the rank one discrete valuations of the field whose center in $k\lcor\X\rcor$ is the maximal ideal. In sections 2 to 6 we give a construc…
math.AC2006★ 43 cited
Valuations in algebraic field extensions
F. J. Herrera Govantes, M. A. Olalla Acosta, M. Spivakovsky
Let be an algebraic field extension and a valuation of . The purpose of this paper is to describe the totality of extensions of to using…