David Massey

Le Cycles and Hypersurface Singularities

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 1615
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-60395-5
• 1995.
• Seitenzahl: 148
• Erscheinungstermin: 17. November 1995
• Englisch
• Abmessung: 235mm x 155mm x 9mm
• Gewicht: 260g
• ISBN-13: 9783540603955
• ISBN-10: 3540603956
• Artikelnr.: 23402813

Inhaltsangabe

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.