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Complex Manifolds

  • Book
  • © 1998

Overview

Authors:
  1. S. R. Bell

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

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  2. J.-L. Brylinski

    1. Deparment of Mathematics, The Pennsylvania State University, University Park, USA

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  3. A. T. Huckleberry

    1. Fakultät and Institut für Mathematik, Ruhr-Universität, Bochum, Germany

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  4. R. Narasimhan

    1. Dapartmant of Mathematics, The University of Chicago, Chicago, USA

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  5. C. Okonek

    1. Mathematiches Institut, Universität Zürich, Zürich, Switzerland

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  6. G. Schumacher

    1. Fakultät und Institut für Mathematik, Ruhr-Universität Bochum, Bochum, Germany

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  7. A. Ven

    1. Deparment of Mathematics and Computer Science, Mathematisch Institut, Rijksuniversiteit Leiden, Leiden, The Netherlands

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  8. S. Zucker

    1. Deparment of Mathematics, The Jonhs Hopkins University, Baltimore, USA

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  • 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

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Proper Holomorphic Mappings of Complex Spaces

    • Steven R. Bell, Raghavan Narasimhan
    Pages 1-38

  3. An Overview of Recent Advances in Hodge Theory

    • Jean-Luc Brylinski, Steven Zucker
    Pages 39-142

  4. Actions of Groups of Holomorphic Transformations

    • Alan T. Huckleberry
    Pages 143-196

  5. Stable Bundles, Instantons and C∞-Structures on Algebraic Surfaces

    • Ch. Okonek, A. Van de Ven
    Pages 197-249

  6. The Theory of Teichmüller Spaces A View Towards Moduli Spaces of Kähler Manifolds

    • Georg Schumacher
    Pages 251-310
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Keywords

About this book

The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990. They are surveys, meant to facilitate access to some of the many aspects of the theory of complex manifolds, and demonstrate the interplay between complex analysis and many other branches of mathematics, algebraic geometry, differential topology, representations of Lie groups, and mathematical physics being only the most obvious of these branches. Each of these articles should serve not only to describe the particular circle of ideas in complex analysis with which it deals but also as a guide to the many mathematical ideas related to its theme.

Authors and Affiliations

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

    S. R. Bell

  • Deparment of Mathematics, The Pennsylvania State University, University Park, USA

    J.-L. Brylinski

  • Fakultät and Institut für Mathematik, Ruhr-Universität, Bochum, Germany

    A. T. Huckleberry

  • Dapartmant of Mathematics, The University of Chicago, Chicago, USA

    R. Narasimhan

  • Mathematiches Institut, Universität Zürich, Zürich, Switzerland

    C. Okonek

  • Fakultät und Institut für Mathematik, Ruhr-Universität Bochum, Bochum, Germany

    G. Schumacher

  • Deparment of Mathematics and Computer Science, Mathematisch Institut, Rijksuniversiteit Leiden, Leiden, The Netherlands

    A. Ven

  • Deparment of Mathematics, The Jonhs Hopkins University, Baltimore, USA

    S. Zucker

Bibliographic Information

  • Book Title: Complex Manifolds

  • Authors: S. R. Bell, J.-L. Brylinski, A. T. Huckleberry, R. Narasimhan, C. Okonek, G. Schumacher, A. Ven, … S. Zucker

  • DOI: https://doi.org/10.1007/978-3-642-61299-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Softcover ISBN: 978-3-540-62995-5Published: 11 December 1997

  • eBook ISBN: 978-3-642-61299-2Published: 12 June 2019

  • Edition Number: 1

  • Number of Pages: IX, 310

  • Additional Information: Originally published as volume 69 in the series: Encyclopedia.of Mathematical Sciences

  • Topics: Analysis, Algebraic Geometry, Topology, Theoretical, Mathematical and Computational Physics

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