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Complex Geometry

Collection of Papers Dedicated to Hans Grauert

  • Ingrid Bauer
  • Fabrizio Catanese
  • Thomas Peternell
  • Yujiro Kawamata
  • Yum-Tong Siu
Book

Table of contents

  1. Front Matter
    Pages I-XXII
  2. Thomas Bauer, Frédéric Campana, Thomas Eckl, Stefan Kebekus, Thomas Peternell, Sławomir Rams et al.
    Pages 27-36
  3. Ingrid C. Bauer, Fabrizio Catanese, Roberto Pignatelli
    Pages 37-72
  4. Araceli M. Bonifant, John Erik Fornæss
    Pages 73-84
  5. Hubert Flenner, Martin Lübke
    Pages 99-109
  6. Alan T. Huckleberry, Joseph A. Wolf
    Pages 111-133
  7. Stefan Kebekus, Thomas Peternell, Andrew J. Sommese
    Pages 157-164
  8. Keiji Oguiso, De-Qi Zhang
    Pages 165-184
  9. Takeo Ohsawa
    Pages 185-191
  10. Stefan Schröer, Bernd Siebert
    Pages 193-222

About this book

Introduction

This volume contains a collection of research papers dedicated to Hans Grauert on the occasion of his seventieth birthday. Hans Grauert is a pioneer in modern complex analysis, continuing the il­ lustrious German tradition in function theory of several complex variables of Weierstrass, Behnke, Thullen, Stein, Siegel, and many others. When Grauert came on the scene in the early 1950's, function theory was going through a revolutionary period with the geometric theory of complex spaces still in its embryonic stage. A rich theory evolved with the joint efforts of many great mathematicians including Oka, Kodaira, Cartan, and Serre. The Car­ tan Seminar in Paris and the Kodaira Seminar provided important venues an for its development. Grauert, together with Andreotti and Remmert, took active part in the latter. In his career he has nurtured a great number of his own doctoral students as well as other young mathematicians in his field from allover the world. For a couple of decades his work blazed the trail and set the research agenda in several complex variables worldwide. Among his many fundamentally important contributions, which are too numerous to completely enumerate here, are: 1. The complete clarification of various notions of complex spaces. 2. The solution of the general Levi problem and his work on pseudo convexity for general manifolds. 3. The theory of exceptional analytic sets. 4. The Oka principle for holomorphic bundles. 5. The proof of the Mordell conjecture for function fields. 6. The direct image theorem for coherent sheaves.

Keywords

Algebraic surfaces Complex analysis Köhler geometry Volume classification theory linear systems moduli space moduli spaces

Editors and affiliations

  • Ingrid Bauer
    • 1
  • Fabrizio Catanese
    • 1
  • Thomas Peternell
    • 1
  • Yujiro Kawamata
    • 2
  • Yum-Tong Siu
    • 3
  1. 1.Faculty for Mathematics and PhysicsUniversity of BayreuthBayreuthGermany
  2. 2.Department of Mathematical SciencesUniversity of TokyoTokyo 153Japan
  3. 3.Department of MathematicsHarvard UniversityCambridgeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-56202-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-62790-3
  • Online ISBN 978-3-642-56202-0
  • Buy this book on publisher's site
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