Le Cycles and Hypersurface Singularities

1995
ISBN: 978-3-540-60395-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1615, 136 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 236 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Massey, David

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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.