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  • Textbook
  • © 2000

Resolution of Singularities

A research textbook in tribute to Oscar Zariski Based on the courses given at the Working Week in Obergurgl, Austria, September 7–14, 1997

Birkhäuser

Editors:

  1. Herwig Hauser

    1. Institut für Mathematik, Universität Innsbruck, Innsbruck, Österreich

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  2. Joseph Lipman

    1. Department of Mathematics, Purdue University, West Lafayette, USA

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  3. Frans Oort

    1. Department of Mathematics, Universiteit Utrecht, Utrecht, The Netherlands

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  4. Adolfo Quirós

    1. Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, Spain

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

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xxi
    PDF

  2. Oscar Zariski 1899–1986

    1. Oscar Zariski 1899–1986

      • Joseph Lipman
      Pages 1-4

    2. Resolution of Singularities 1860–1999

      • Herwig Hauser
      Pages 5-36

  3. Classes of the Working Week

    1. Front Matter

      Pages 37-37
      PDF

    2. Alterations and Resolution of Singularities

      • Dan Abramovich, Frans Oort
      Pages 39-108

    4. Puiseux Solutions of Singular Differential Equations

      • José Manuel Aroca
      Pages 129-145

    5. A Course on Constructive Desingularization and Equivariance

      • Santiago Encinas, Orlando Villamayor
      Pages 147-227

  4. Contributions

    1. Front Matter

      Pages 229-229
      PDF

    2. A Computer Program for the Resolution of Singularities

      • Gábor Bodnár, Josef Schicho
      Pages 231-238

    4. Toric Varieties and Toric Resolutions

      • David A. Cox
      Pages 259-284

    5. A Compactification of a Fine Moduli Space of Curves

      • Bert van Geemen, Frans Oort
      Pages 285-298

    8. Excellent Surfaces and Their Taut Resolution

      • Herwig Hauser
      Pages 341-373

    11. Les Singularités Sandwich

      • Lê Dũng Tráng
      Pages 457-483
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About this book

In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps. Its objective was to manifest the state of the art in the field and to formulate major questions for future research. The four courses given during this week were written up by the speakers and make up part I of this volume. They are complemented in part II by fifteen selected contributions on specific topics and resolution theories. The volume is intended to provide a broad and accessible introduction to resolution of singularities leading the reader directly to concrete research problems.
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Keywords

  • Algebraische Topologie
  • Differentialgeometrie
  • Morphism
  • equation
  • geometry
  • linear optimization
  • moduli space
  • theorem
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Editors and Affiliations

  • Institut für Mathematik, Universität Innsbruck, Innsbruck, Österreich

    Herwig Hauser

  • Department of Mathematics, Purdue University, West Lafayette, USA

    Joseph Lipman

  • Department of Mathematics, Universiteit Utrecht, Utrecht, The Netherlands

    Frans Oort

  • Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, Spain

    Adolfo Quirós

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Bibliographic Information

  • Book Title: Resolution of Singularities

  • Book Subtitle: A research textbook in tribute to Oscar Zariski Based on the courses given at the Working Week in Obergurgl, Austria, September 7–14, 1997

  • Editors: Herwig Hauser, Joseph Lipman, Frans Oort, Adolfo Quirós

  • Series Title: Progress in Mathematics

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

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2000

  • Hardcover ISBN: 978-3-7643-6178-5Published: 14 February 2000

  • Softcover ISBN: 978-3-0348-9550-7Published: 16 December 2012

  • eBook ISBN: 978-3-0348-8399-3Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XXI, 598

  • Topics: Algebraic Geometry, Topology, Applications of Mathematics

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Access via your institution

Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 119.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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