Le Cycles and Hypersurface Singularities / Edition 1

by David Massey

Overview

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.

Product Details

ISBN-13:	9783540603955
Publisher:	Springer Berlin Heidelberg
Publication date:	11/29/1995
Series:	Lecture Notes in Mathematics , #1615
Edition description:	1995
Pages:	136
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table of 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.