Valuation theoretic and model theoretic aspects of local uniformization

Mathematics – Commutative Algebra

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79 pages; in: Resolution of Singularities - A Research Textbook in Tribute to Oscar Zariski. Herwig Hauser, Joseph Lipman, Fra

Scientific paper

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.

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