Le Cycles and Hypersurface Singularities

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...

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Bibliographic Details
Main Author: Massey, David
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1995, 1995
Edition:1st ed. 1995
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Le Cycles and Hypersurface Singularities  |h Elektronische Ressource  |c by David Massey 
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260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1995, 1995 
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505 0 |a 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 
653 |a Several Complex Variables and Analytic Spaces 
653 |a Algebraic Topology 
653 |a Functions of complex variables 
653 |a Algebraic topology 
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490 0 |a Lecture Notes in Mathematics 
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082 0 |a 515.94 
520 |a 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