© 1998

Complex Manifolds

  • A special volume emphasizing the recent mathematics which has grown from "the Golden Age of Complex Variables" in the 1950's

  • Large overview of several important topics


Table of contents

  1. Front Matter
    Pages i-ix
  2. Steven R. Bell, Raghavan Narasimhan
    Pages 1-38
  3. Jean-Luc Brylinski, Steven Zucker
    Pages 39-142
  4. Alan T. Huckleberry
    Pages 143-196

About this book


The articles in this volume were written to commemorate R. Remmert's 60th birthday in 1990. They are surveys, meant to facilitate access to some of the many aspects of the theory of several complex variables, and demonstrate the interplay between complex analysis and many other branches of mathematics. From the reviews of the first printing of this volume, published as Volume 69 of the Encyclopaedia of Mathematical Sciences: "The articles in this volume ... are survey articles facilitating access to interesting aspects of modern complex analysis. ..." (Monatshefte für Mathematik, 1992) "... Like the essays in the earlier volumes of the Encyclopaedia also here the essays are addressed to mathematicians who are not specialists in the specific areas covered. ... This book is dedicated to Reinhold Remmert. It is a beautiful tribute to honour this great man." (Medelingen van het wiskundig genootschap, 1993)


Hodge theory Hodgetheorie Instantone Modulräume algebraic geometry differential topology holomophic mappings holomorphe Abbildungen homogenous complex manifolds instantons komplexe Mannigfaltigkeit manifold mathematical physics moduli spaces topology

Authors and affiliations

  1. 1.Deparment of MathematicsPurdue UniversityWest LafayetteUSA
  2. 2.Deparment of MathematicsThe Pennsylvania State UniversityUniversity ParkUSA
  3. 3.Fakultät and Institut für MathematikRuhr-UniversitätBochumGermany
  4. 4.Dapartmant of MathematicsThe University of ChicagoChicagoUSA
  5. 5.Mathematiches InstitutUniversität ZürichZürichSwitzerland
  6. 6.Fakultät und Institut für MathematikRuhr-Universität BochumBochumGermany
  7. 7.Deparment of Mathematics and Computer ScienceMathematisch Institut, Rijksuniversiteit LeidenLeidenThe Netherlands
  8. 8.Deparment of MathematicsThe Jonhs Hopkins UniversityBaltimoreUSA

Bibliographic information

  • Book Title Complex Manifolds
  • Authors S.R. Bell
    J.-L. Brylinski
    A.T. Huckleberry
    R. Narasimhan
    C. Okonek
    G. Schumacher
    A. Van de Ven
    S. Zucker
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-52788-6
  • Softcover ISBN 978-3-540-62995-5
  • eBook ISBN 978-3-642-61299-2
  • Edition Number 1
  • Number of Pages IX, 310
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published as volume 69 in the series: Encyclopedia.of Mathematical Sciences
  • Topics Analysis
    Algebraic Geometry
    Theoretical, Mathematical and Computational Physics
  • Buy this book on publisher's site
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