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Real and Complex Singularities
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2008.
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| Colección: | Contemporary Mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Contents""; ""Preface""; ""Conjugate Vectors of Immersed Manifolds""; ""Invariants of D(q,p) Singularities""; ""Nilpotents, Integral Closure and Equisingularity Conditions""; ""Singularities in Generic One-parameter Complex Analytic Families of Maps""; ""Global Classification of Curves on the Symplectic Plane""; ""Counting Isolated Singularities of a Stable Perturbation of a Finitely A-determined Map-germ (Cn, 0) â?? ( CP, 0), with n < p""; ""Milnor Numbers and Equisingularity of Map Germs from Cn+3 to C3""; ""Cobordism Invariants of Fold Maps""
- ""Obstructions on Fundamental Groups of Plane Curve Complements""""Exotic Moduli of Goursat Distributions Exist Already in Codimension Three""; ""Hypersurfaces with Isolated Singularities with Symmetry""; ""Thom Polynomials and Schur Functions: Towards theSingularities Ai(�)""; ""Index of Quadratic Differential Forms""; ""Remarks on Contact Structures and Vector Fields on Isolated Complete Intersection Singularities""; ""Residue Theoretical Approach to Intersection Theory""; ""1. Chern classes via obstruction theory""; ""1.1. Poincaré and Alexander dualities""
- ""1.2. Chern classes of complex vector bundles""""1.3. Localization and topological residues""; ""2. ÄŒech-de Rham cohomology""; ""2.1. de Rham cohomology""; ""2.2. ÄŒech-de Rham cohomology""; ""2.3. Combination with combinatorics""; ""2.4. Relative ÄŒech-de Rham cohomology""; ""3. Chern-Weil theory adapted to the ÄŒech-de Rham cohomology""; ""3.1. Chern-Weil theory of characteristic classes""; ""3.2. Characteristic classes in the ÄŒech-de Rham cohomology""; ""3.3. Localization and differential geometric residues""; ""3.4. Coincidence of topological and differential geometric definitions""
- ""4. Residues of Chern classes on manifolds""""4.1. Residues of Chern classes""; ""4.2. Grothendieck residues""; ""4.3. Residues at an isolated singularity""; ""4.4. Examples""; ""5. Localization on singular varieties""; ""5.1. Poincaré and Alexander homomorphisms""; ""5.2. Chern classes from topological viewpoint""; ""5.3. Chern classes from differential geometric viewpoint""; ""6. Residues of Chern classes on singular varieties""; ""6.1. Residues on singular varieties""; ""6.2. Grothendieck residues relative to a subvariety""; ""6.3. Residues at an isolated singularity""
- ""6.4. Examples and applications""""7. Intersections in complex manifolds""; ""7.1. Intersection product with a subvariety""; ""7.2. Poincaré and Alexander dualities revisited""; ""7.3. Intersections of analytic subspaces""; ""7.4. Subspaces defined by γ-sections""; ""7.5. Intersections of subspaces defined by regular sections""; ""7.6. Multiplicity at a point""; ""8. Intersections in singular varieties""; ""8.1. Subspaces defined by γ-sections""; ""8.2. Intersections of analytic subspaces""; ""9. Intersection theory on singular surfaces and an application""