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...
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| Glavni autori: | , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdanje: | 1st ed. 2009. |
| Serija: | Lecture Notes in Mathematics
1960 |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Description d'apès consultation du 23 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Foundations of Grothendieck duality for diagrams of schemes, Joseph Lipman, Mitsuyasu Hashimoto, Berlin, Springer, 2009, 1 vol. (X-478 p.), Lecture notes in mathematics, 978-3-540-85419-7 • Foundations of Grothendieck Duality for Diagrams of Schemes, Texte imprimé, 9783540854432 • Foundations of Grothendieck duality for diagrams of schemes, Joseph Lipman, Mitsuyasu Hashimoto, Berlin, Springer, 2009, 1 vol. (X-478 p.), Lecture notes in mathematics, 978-3-540-85419-7 |
Sadržaj:
- 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.