Monomial discrete valuations in k[[X]]

2003/07/17 by Francisco Javier Herrera Govantes, Miguel Angel Olalla Acosta, Govantes, Francisco Javier Herrera +5
Computer Science · Mathematics · #12J20 #13A18 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Functional Equations Stability Results #Topological and Geometric Data Analysis #advanced mathematical theories #math.AC #math.AG #msc:12J20 #msc:13A18

paper · pdf · doi:10.48550/arxiv.math/0307238

arxiv created 2003/07/17 · openalex publication_date 2003/07/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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