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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Maxim, Laurenţiu G. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:Graduate Texts in Mathematics, 281
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.