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Monomial discrete valuations in k[[X]]

Francisco Javier Herrera Govantes, Miguel Angel Olalla Acosta, Jose Luis Vicente Cordoba

math.ACarXiv:math/0307238

Abstract

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 compute explicitly the residue field of the valuation.

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