43 citations · 74 across the 13 of their papers we have counts for
6 papers · 1 filter
Extending valuations of local domains to complete local domains without changing the value group
F. J. Herrera Govantes, M. A. Olalla Acosta, M. Spivakovsky +1
Let be an excellent local noetherian domain with field of fractions . Let be a valuation centered at and let be the correspondi…
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…
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…
Monomial discrete valuations in k[[X]]
Francisco Javier Herrera Govantes, Miguel Angel Olalla Acosta, Jose Luis Vicente Cordoba
Let v be a rank m discrete valuation of k[[X1,...,Xn]] with dimension n-m. We prove that there exists an inmediate extension L of K where the valuation is monomial. Therefore we co…
Valuations in fields of power series
F. J. Herrera-Govantes, M. A. Olalla Acosta, J. L. Vicente-Cordoba
This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe the residue fields of the monomial valuations. We also c…
On the dimension of discrete valuations of k((X1,...,Xn))
Miguel Angel Olalla Acosta
Let be a rank-one discrete valuation of the field $k((\X))$. We know, after \cite{Bri2}, that if then the dimension of is 1 and if is the usual order function ove…