中文

Monomial discrete valuations in k[[X]]

交换代数 2007-05-23 v1 代数几何

摘要

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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引用

@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}
}