Skip to main content
  • Book
  • © 1995

Le Cycles and Hypersurface Singularities

Authors:

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1615)

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (11 chapters)

  1. Front Matter

    Pages I-X
  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

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

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access