Monomial discrete valuations in k[[X]]

Details Monomial discrete valuations in k[[X]] Monomial discrete valuations in k[[X]]

2003-07-17

arxiv.org/abs/math/0307238v1

Mathematics

Commutative Algebra

Scientific paper

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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