English

Valuation theoretic and model theoretic aspects of local uniformization

Commutative Algebra 2013-04-02 v1

Abstract

This paper gives a survey on a valuation theoretical approach to local uniformization in positive characteristic, the model theory of valued fields in positive characteristic, and their connection with the valuation theoretical phenomenon of defect.

Keywords

Cite

@article{arxiv.1003.5689,
  title  = {Valuation theoretic and model theoretic aspects of local uniformization},
  author = {Franz-Viktor Kuhlmann},
  journal= {arXiv preprint arXiv:1003.5689},
  year   = {2013}
}

Comments

79 pages; in: Resolution of Singularities - A Research Textbook in Tribute to Oscar Zariski. Herwig Hauser, Joseph Lipman, Frans Oort, Adolfo Quiros (eds.)

R2 v1 2026-06-21T15:04:13.456Z