English

Simultaneous Monomialization

Commutative Algebra 2020-10-19 v2 Algebraic Geometry

Abstract

We give a new proof of the simultaneous embedded local uniformization Theorem in zero characteristic for essentially of finite type rings and for quasi excellent rings. The results are a consequence of the simultaneaous monomialization presented here. The methods develop the key elements theory that is a more subtle notion than the notion of key polynomials.

Keywords

Cite

@article{arxiv.1901.03365,
  title  = {Simultaneous Monomialization},
  author = {Julie Decaup},
  journal= {arXiv preprint arXiv:1901.03365},
  year   = {2020}
}

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86 pages