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Mathematics
Commutative Algebra
Monomial discrete valuations in k[[X]]
Francisco Javier Herrera Govantes
,
Miguel Angel Olalla Acosta
,
Jose Luis Vicente Cordoba
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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Submitted on 17 Jul 2003
Updated
arXiv.org
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