Intersection Homology & Perverse Sheaves with Applications to Singularities
This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of to...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing
2019.
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| Edición: | 1st ed |
| Colección: | Springer eBooks.
Graduate Texts in Mathematics ; 281. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b40170676*spi |
Tabla de Contenidos:
- Preface
- 1. Topology of singular spaces: motivation, overview
- 2. Intersection Homology: definition, properties
- 3. L-classes of stratified spaces
- 4. Brief introduction to sheaf theory
- 5. Poincaré-Verdier Duality
- 6. Intersection homology after Deligne
- 7. Constructibility in algebraic geometry
- 8. Perverse sheaves
- 9. The Decomposition Package and Applications
- 10. Hypersurface singularities. Nearby and vanishing cycles
- 11. Overview of Saito's mixed Hodge modules, and immediate applications
- 12. Epilogue
- Bibliography
- Index.
