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AuthorMassey, David B. author
TitleLรช Cycles and Hypersurface Singularities [electronic resource] / by David B. Massey
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1995
Connect tohttp://dx.doi.org/10.1007/BFb0094409
Descript XII, 136 p. online resource

SUMMARY

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


CONTENT

Definitions and basic properties -- Elementary examples -- A handle decomposition of the milnor fibre -- Generalized Lรช-Iomdine formulas -- Lรช numbers and hyperplane arrangements -- Thomโ{128}{153}s a f condition -- Aligned singularities -- Suspending singularities -- Constancy of the Milnor fibrations -- Other characterizations of the Lรช cycles


Mathematics Functions of complex variables Algebraic topology Mathematics Several Complex Variables and Analytic Spaces Algebraic Topology



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