Resolution of Singularities

1. Contributions

   1. Resolution of Weighted Homogeneous Surface Singularities

      • Gerd Müller

      Pages 507-517

   2. Alterations and Birational Anabelian Geometry

      • Florian Pop

      Pages 519-532

   3. The Turbulent Fifties in Resolution of Singularities

      • Heinrich Reitberger

      Pages 533-537

   4. Valuations

      • Michel Vaquié

      Pages 539-590

2. Back Matter

   Pages 591-598

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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

• 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

Policies and ethics