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Le Cycles and Hypersurface Singularities

  • Book
  • © 1995

Overview

Authors:
  1. David B. Massey
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1615)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction

    • David B. Massey
    Pages 1-7

  3. Definitions and basic properties

    • David B. Massey
    Pages 8-30

  4. Elementary examples

    • David B. Massey
    Pages 31-36

  5. A handle decomposition of the milnor fibre

    • David B. Massey
    Pages 37-41

  6. Generalized Lê-Iomdine formulas

    • David B. Massey
    Pages 42-60

  7. Lê numbers and hyperplane arrangements

    • David B. Massey
    Pages 61-67

  8. Thom’s a f condition

    • David B. Massey
    Pages 68-74

  9. Aligned singularities

    • David B. Massey
    Pages 75-80

  10. Suspending singularities

    • David B. Massey
    Pages 81-85

  11. Constancy of the Milnor fibrations

    • David B. Massey
    Pages 86-91

  12. Other characterizations of the Lê cycles

    • David B. Massey
    Pages 92-104

  13. Back Matter

    Pages 105-131
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Keywords

About this book

This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Lê cycles of the hypersurface. The Lê cycles and their multiplicities - the Lê numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. The Lê numbers control many topological and geometric properties of such non-isolated hypersurface singularities. This book is intended for graduate students and researchers interested in complex analytic singularities.

Bibliographic Information

  • Book Title: Le Cycles and Hypersurface Singularities

  • Authors: David B. Massey

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0094409

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1995

  • Softcover ISBN: 978-3-540-60395-5Published: 17 November 1995

  • eBook ISBN: 978-3-540-45521-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 136

  • Topics: Several Complex Variables and Analytic Spaces, Algebraic Topology

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