Monomial discrete valuations in k[[X]]
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/0307238,
title = {Monomial discrete valuations in k[[X]]},
author = {Francisco Javier Herrera Govantes and Miguel Angel Olalla Acosta and Jose Luis Vicente Cordoba},
journal= {arXiv preprint arXiv:math/0307238},
year = {2007}
}