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Numerical control over complex analytic singularities /
Overview Part I. Algebraic Preliminaries: Gap Sheaves and Vogel Cycles: Introduction Gap sheaves Gap cycles and Vogel cycles The Le-Iomdine-Vogel formulas Summary of Part I Part II. Le Cycles and Hypersurface Singularities: Introduction Definitions and basic properties Elementary examples A handle d...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2003.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 778. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Overview Part I. Algebraic Preliminaries: Gap Sheaves and Vogel Cycles: Introduction Gap sheaves Gap cycles and Vogel cycles The Le-Iomdine-Vogel formulas Summary of Part I Part II. Le Cycles and Hypersurface Singularities: Introduction Definitions and basic properties Elementary examples A handle decomposition of the Milnor fibre Generalized Le-Iomdine formulas Le numbers and hyperplane arrangements Thom's $a_f$ condition Aligned singularities Suspending singularities Constancy of the Milnor fibrations Another characterization of the Le cycles Part III. Isolated Critical Points of Functions on Singular Spaces: Introduction Critical avatars The relative polar curve The link between the algebraic and topological points of view The special case of perverse sheaves Thom's $a_f$ condition Continuous families of constructible complexes Part IV. Non-Isolated Critical Points of Functions on Singular Spaces: Introduction Le-Vogel cycles Le-Iomdine formulas and Thom's condition Le-Vogel cycles and the Euler characteristic Appendix A. Analytic cycles and intersections Appendix B. The derived category Appendix C. Privileged neighborhoods and lifting Milnor fibrations References Index. |
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| Notas: | "Volume 163, number 778 (end of volume)." |
| Descripción Física: | 1 online resource (xii, 268 pages) : illustrations |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781470403768 1470403765 |
| ISSN: | 1947-6221 ; 0065-9266 |