Le Cycles and Hypersurface Singularities

ISBN-13: 9783540603955 / Angielski / Miękka / 1995 / 136 str.

David B. Massey

Opis

This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Le cycles of the hypersurface. The Le cycles and their multiplicities - the Le numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. The Le 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.

Spis treści

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.