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On the Topology of Isolated Singularities in Analytic Spaces

(Autor)

Buch | Hardcover
XIV, 238 Seiten
2005
Springer Basel (Verlag)
978-3-7643-7322-1 (ISBN)

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On the Topology of Isolated Singularities in Analytic Spaces - José Seade
CHF 164,75 inkl. MwSt

This book offers an overview of selected topics on the topology of singularities, with emphasis on its relations to other branches of geometry and topology. The opening chapters cover complex singularities and collect a myriad of results spread in a vast literature, including recent research. The second part of the book studies real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations. In the low dimensional case these turn out to be related to fibred links in the 3-sphere defined by meromorphic functions.

A Fast Trip Through the Classical Theory.- Motions in Plane Geometry and the 3-dimensional Brieskorn Manifolds.- 3-dimensional Lie Groups and Surface Singularities.- Within the Realm of the General Index Theorem.- On the Geometry and Topology of Quadrics in ??n.- Real Singularities and Complex Geometry.- Real Singularities with a Milnor Fibration.- Real Singularities and Open Book Decompositions of the 3-sphere.

Erscheint lt. Verlag 18.11.2005
Reihe/Serie Progress in Mathematics
Zusatzinfo XIV, 238 p.
Verlagsort Basel
Sprache englisch
Maße 155 x 235 mm
Gewicht 610 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte Analytic Functions • Complex Analysis • manifold • Meromorphic Function • open book • open book decompositions • Singularities • Topology
ISBN-10 3-7643-7322-9 / 3764373229
ISBN-13 978-3-7643-7322-1 / 9783764373221
Zustand Neuware
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