Lê Cycles and Hypersurface Singularities / by David B. Massey.

Format:

Book

Author/Creator:

Massey, David B., 1959- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1615.

Lecture Notes in Mathematics, 0075-8434 ; 1615

Language:

English

Subjects (All):

Differential equations, Partial.

Algebraic topology.

Several Complex Variables and Analytic Spaces.

Algebraic Topology.

Local Subjects:

Several Complex Variables and Analytic Spaces.

Algebraic Topology.

Physical Description:

1 online resource (XII, 136 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1995.

System Details:

text file PDF

Summary:

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.

Contents:

Definitions and basic properties

Elementary examples

A handle decomposition of the milnor fibre

Generalized Lê-Iomdine formulas

Lê numbers and hyperplane arrangements

Thom's a f condition

Aligned singularities

Suspending singularities

Constancy of the Milnor fibrations

Other characterizations of the Lê cycles.

Other Format:

Printed edition:

ISBN:

9783540455219

Access Restriction:

Restricted for use by site license.