Singularities and Topology of Hypersurfaces

Main Author: Dimca, Alexandru
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY Springer New York 1992, 1992
Edition:1st ed. 1992
Series:Universitext
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Singularities and Topology of Hypersurfaces  |h Elektronische Ressource  |c by Alexandru Dimca 
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505 0 |a 1 Whitney Stratifications -- 1. Some Motivations and Basic Definitions -- 2. Topological Triviality and ?*-Constant Deformations -- 3. The First Thom Isotopy Lemma -- 4. On the Topology of Affine Hypersurfaces -- 5. Links and Conic Structures -- 6. On Zariski Theorems of Lefschetz Type -- 2 Links of Curve and Surface Singularities -- 1. A Quick Trip into Classical Knot Theory -- 2. Links of Plane Curve Singularities -- 3. Links of Surface Singularities -- 4. Special Classes of Surface Singularities -- 3 The Milnor Fibration and the Milnor Lattice -- 1. The Milnor Fibration -- 2. The Connectivity of the Link, of the Milnor Fiber, and of Its Boundary -- 3. Vanishing Cycles and the Intersection Form -- 4. Homology Spheres, Exotic Spheres, and the Casson Invariant -- 4 Fundamental Groups of Hypersurface Complements -- 1. Some General Results -- 2. Presentations of Groups and Monodromy Relations -- 3. The van Kampen-Zariski Theorem -- 4. Two Classical Examples -- 5 Projective Complete Intersections -- 1. Topology of the Projective Space Pn -- 2. Topology of Complete Intersections -- 3. Smooth Complete Intersections -- 4. Complete Intersections with Isolated Singularities -- 6 de Rham Cohomology of Hypersurface Complements -- 1. Differential Forms on Hypersurface Complements -- 2. Spectral Sequences and Koszul Complexes -- 3. Singularities with a One-Dimensional Critical Locus -- 4. Alexander Polynomials and Defects of Linear Systems -- Appendix A Integral Bilinear Forms and Dynkin Diagrams -- Appendix B Weighted Projective Varieties -- Appendix C Mixed Hodge Structures -- References 
653 |a Algebraic Geometry 
653 |a Algebraic Topology 
653 |a Algebraic geometry 
653 |a Algebraic topology 
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