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Valuation Theoretic and Model Theoretic Aspects of Local Uniformization

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Resolution of Singularities

Part of the book series: Progress in Mathematics ((PM,volume 181))

Abstract

In this paper, I will take you on an excursion from Algebraic Geometry through Valuation Theory to Model Theoretic Algebra, and back. If our destination sounds too exotic for you, you may jump off at the Old World (Valuation Theory) and divert yourself with problems and examples until you catch our plane back home.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5E6, Canada

    Franz-Viktor Kuhlmann

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  1. Franz-Viktor Kuhlmann
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Editors and Affiliations

  1. Institut für Mathematik, Universität Innsbruck, Innsbruck, A-6020, Österreich

    Herwig Hauser

  2. Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA

    Joseph Lipman

  3. Department of Mathematics, Universiteit Utrecht, Utrecht, 3508 TA, The Netherlands

    Frans Oort

  4. Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, 28049, Spain

    Adolfo QuirĂłs

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Kuhlmann, FV. (2000). Valuation Theoretic and Model Theoretic Aspects of Local Uniformization. In: Hauser, H., Lipman, J., Oort, F., Quirós, A. (eds) Resolution of Singularities. Progress in Mathematics, vol 181. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8399-3_15

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  • DOI: https://doi.org/10.1007/978-3-0348-8399-3_15

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9550-7

  • Online ISBN: 978-3-0348-8399-3

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