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Topological Methods in Algebraic Transformation Groups

Proceedings of a Conference at Rutgers University

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Hanspeter Kraft

    1. Mathematisches Institut, Universität Basel, Basel, Switzerland

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  2. Ted Petrie

    1. Department of Mathematics, Rutgers University, New Brunswick, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Gerald W. Schwarz

    1. Department of Mathematics, Brandeis University, Waltham, USA

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Part of the book series: Progress in Mathematics (PM, volume 80)

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Table of contents (13 papers)

  1. Front Matter

    Pages i-vii
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  2. Introduction

    • Hanspeter Kraft, Ted Petrie, Gerald W. Schwarz
    Pages 1-4

  3. Linearizing Flat Families of Reductive Group Representations

    • Hyman Bass
    Pages 5-10

  4. Spherical Varieties an Introduction

    • Michel Brion
    Pages 11-26

  5. Homology Planes an Announcement and Survey

    • Tammo Tom Dieck, Ted Petrie
    Pages 27-48

  6. Fixed Point Free Algebraic Actions on Varieties Diffeomorphic to Rn

    • Karl Heinz Dovermann, Mikiya Masuda, Ted Petrie
    Pages 49-80

  7. Algebraic Automorphisms of Affine Space

    • Hanspeter Kraft
    Pages 81-105

  8. Almost Homogeneous Artin-MoiŠezon Varieties Under the Action of PSL2(C)

    • Domingo Luna, Lucy Moser-Jauslin, Thierry Vust
    Pages 107-115

  9. On the Topology of Curves in Complex Surfaces

    • Walter D. Neumann
    Pages 117-133

  10. The Topology of Algebraic Quotients

    • Gerald W. Schwarz
    Pages 135-151

  11. Rationality of Moduli Spaces via Invariant Theory

    • Nicholas I. Shepherd-Barron
    Pages 153-164

  12. Unipotent Actions on Affine Space

    • Dennis M. Snow
    Pages 165-176

  13. Algebraic Characterization of the Affine Plane and the Affine 3-Space

    • Toru Sugie
    Pages 177-190

  14. Classification of Three-Dimensional Homogeneous Complex Manifolds

    • Jörg Winkelmann
    Pages 191-210
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Keywords

About this book

In recent years, there has been increasing interest and activity in the area of group actions on affine and projective algebraic varieties. Tech­ niques from various branches of mathematics have been important for this study, especially those coming from the well-developed theory of smooth compact transformation groups. It was timely to have an interdisciplinary meeting on these topics. We organized the conference "Topological Methods in Alg~braic Transformation Groups," which was held at Rutgers University, 4-8 April, 1988. Our aim was to facilitate an exchange of ideas and techniques among mathematicians studying compact smooth transformation groups, alge­ braic transformation groups and related issues in algebraic and analytic geometry. The meeting was well attended, and these Proceedings offer a larger audience the opportunity to benefit from the excellent survey and specialized talks presented. The main topics concerned various as­ pects of group actions, algebraic quotients, homogeneous spaces and their compactifications. The meeting was made possible by support from Rutgers University and the National Science Foundation. We express our deep appreciation for this support. We also thank Annette Neuen for her assistance with the technical preparation of these Proceedings.

Editors and Affiliations

  • Mathematisches Institut, Universität Basel, Basel, Switzerland

    Hanspeter Kraft

  • Department of Mathematics, Rutgers University, New Brunswick, USA

    Ted Petrie

  • Department of Mathematics, Brandeis University, Waltham, USA

    Gerald W. Schwarz

Bibliographic Information

  • Book Title: Topological Methods in Algebraic Transformation Groups

  • Book Subtitle: Proceedings of a Conference at Rutgers University

  • Editors: Hanspeter Kraft, Ted Petrie, Gerald W. Schwarz

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-3702-0

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston, Inc. 1989

  • Hardcover ISBN: 978-0-8176-3436-0Due: 01 January 1990

  • Softcover ISBN: 978-1-4612-8219-8Published: 17 September 2011

  • eBook ISBN: 978-1-4612-3702-0Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: VIII, 214

  • Topics: Topology, Algebraic Topology, Topological Groups, Lie Groups

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