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Foundations of Grothendieck Duality for Diagrams of Schemes
The first part written by Joseph Lipman, accessible to mid-level graduate students, is a full exposition of the abstract foundations of Grothendieck duality theory for schemes (twisted inverse image, tor-independent base change,...), in part without noetherian hypotheses, and with some refinements f...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2009.
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| Edición: | 1st ed. 2009. |
| Colección: | Lecture Notes in Mathematics,
1960 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Joseph Lipman: Notes on Derived Functors and Grothendieck Duality
- Derived and Triangulated Categories
- Derived Functors
- Derived Direct and Inverse Image
- Abstract Grothendieck Duality for Schemes
- Mitsuyasu Hashimoto: Equivariant Twisted Inverses
- Commutativity of Diagrams Constructed from a Monoidal Pair of Pseudofunctors
- Sheaves on Ringed Sites
- Derived Categories and Derived Functors of Sheaves on Ringed Sites
- Sheaves over a Diagram of S-Schemes
- The Left and Right Inductions and the Direct and Inverse Images
- Operations on Sheaves Via the Structure Data
- Quasi-Coherent Sheaves Over a Diagram of Schemes
- Derived Functors of Functors on Sheaves of Modules Over Diagrams of Schemes
- Simplicial Objects
- Descent Theory
- Local Noetherian Property
- Groupoid of Schemes
- Bökstedt-Neeman Resolutions and HyperExt Sheaves
- The Right Adjoint of the Derived Direct Image Functor
- Comparison of Local Ext Sheaves
- The Composition of Two Almost-Pseudofunctors
- The Right Adjoint of the Derived Direct Image Functor of a Morphism of Diagrams
- Commutativity of Twisted Inverse with Restrictions
- Open Immersion Base Change
- The Existence of Compactification and Composition Data for Diagrams of Schemes Over an Ordered Finite Category
- Flat Base Change
- Preservation of Quasi-Coherent Cohomology
- Compatibility with Derived Direct Images
- Compatibility with Derived Right Inductions
- Equivariant Grothendieck's Duality
- Morphisms of Finite Flat Dimension
- Cartesian Finite Morphisms
- Cartesian Regular Embeddings and Cartesian Smooth Morphisms
- Group Schemes Flat of Finite Type
- Compatibility with Derived G-Invariance
- Equivariant Dualizing Complexes and Canonical Modules
- A Generalization of Watanabe's Theorem
- Other Examples of Diagrams of Schemes.