© 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

  • Herwig Hauser
  • Joseph Lipman
  • Frans Oort
  • Adolfo Quirós

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

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Oscar Zariski 1899–1986

    1. Joseph Lipman
      Pages 1-4
    2. Herwig Hauser
      Pages 5-36
  3. Classes of the Working Week

    1. Front Matter
      Pages 37-37
    2. Dan Abramovich, Frans Oort
      Pages 39-108
    3. José Manuel Aroca
      Pages 129-145
    4. Santiago Encinas, Orlando Villamayor
      Pages 147-227
  4. Contributions

    1. Front Matter
      Pages 229-229
    2. Gábor Bodnár, Josef Schicho
      Pages 231-238
    3. David A. Cox
      Pages 259-284
    4. Bert van Geemen, Frans Oort
      Pages 285-298
    5. Herwig Hauser
      Pages 341-373
    6. Lê Dũng Tráng
      Pages 457-483

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.


Algebraische Topologie Differentialgeometrie Morphism equation geometry linear optimization moduli space theorem

Editors and affiliations

  • Herwig Hauser
    • 1
  • Joseph Lipman
    • 2
  • Frans Oort
    • 3
  • Adolfo Quirós
    • 4
  1. 1.Institut für MathematikUniversität InnsbruckInnsbruckÖsterreich
  2. 2.Department of MathematicsPurdue UniversityWest LafayetteUSA
  3. 3.Department of MathematicsUniversiteit UtrechtUtrechtThe Netherlands
  4. 4.Departamento de MatemáticasUniversidad Autónoma de MadridMadridSpain

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 Quiros
  • Series Title Progress in Mathematics
  • Series Abbreviated Title Progress in Mathematics(Birkhäuser)
  • DOI
  • Copyright Information Birkhäuser Verlag 2000
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-7643-6178-5
  • Softcover ISBN 978-3-0348-9550-7
  • eBook ISBN 978-3-0348-8399-3
  • Series ISSN 0743-1643
  • Series E-ISSN 2296-505X
  • Edition Number 1
  • Number of Pages XXI, 598
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Algebraic Geometry
    Applications of Mathematics
  • Buy this book on publisher's site
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