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AuthorDimca, Alexandru. author
TitleSingularities and Topology of Hypersurfaces [electronic resource] / by Alexandru Dimca
ImprintNew York, NY : Springer New York, 1992
Connect tohttp://dx.doi.org/10.1007/978-1-4612-4404-2
Descript XVI, 263 p. online resource

CONTENT

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


Mathematics Algebraic geometry Algebraic topology Mathematics Algebraic Geometry Algebraic Topology



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