Lê cycles and hypersurface singularities
Author(s)
Bibliographic Information
Lê cycles and hypersurface singularities
（Lecture notes in mathematics, 1615）
Springer-Verlag, c1995
Available at / 89 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1615RM951220
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
Definitions and basic properties.- Elementary examples.- A handle decomposition of the milnor fibre.- Generalized Le-Iomdine formulas.- Le numbers and hyperplane arrangements.- Thom's a f condition.- Aligned singularities.- Suspending singularities.- Constancy of the Milnor fibrations.- Other characterizations of the Le cycles.
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