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Foundations of Grothendieck Duality for Diagrams of Schemes

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Cover of 'Foundations of Grothendieck Duality for Diagrams of Schemes'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Derived and Triangulated Categories
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    Chapter 3 Derived Functors
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    Chapter 4 Derived Direct and Inverse Image
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    Chapter 5 Abstract Grothendieck Duality for Schemes
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    Chapter 6 Introduction
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    Chapter 7 Commutativity of Diagrams Constructed from a Monoidal Pair of Pseudofunctors
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    Chapter 8 Sheaves on Ringed Sites
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    Chapter 9 Derived Categories and Derived Functors of Sheaves on Ringed Sites
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    Chapter 10 Sheaves over a Diagram of S -Schemes
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    Chapter 11 The Left and Right Inductions and the Direct and Inverse Images
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    Chapter 12 Operations on Sheaves Via the Structure Data
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    Chapter 13 Quasi-Coherent Sheaves Over a Diagram of Schemes
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    Chapter 14 Derived Functors of Functors on Sheaves of Modules Over Diagrams of Schemes
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    Chapter 15 Simplicial Objects
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    Chapter 16 Descent Theory
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    Chapter 17 Local Noetherian Property
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    Chapter 18 Groupoid of Schemes
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    Chapter 19 Bökstedt—Neeman Resolutions and HyperExt Sheaves
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    Chapter 20 The Right Adjoint of the Derived Direct Image Functor
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    Chapter 21 Comparison of Local Ext Sheaves
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    Chapter 22 The Composition of Two Almost-Pseudofunctors
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    Chapter 23 The Right Adjoint of the Derived Direct Image Functor of a Morphism of Diagrams
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    Chapter 24 Commutativity of Twisted Inverse with Restrictions
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    Chapter 25 Open Immersion Base Change
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    Chapter 26 The Existence of Compactification and Composition Data for Diagrams of Schemes Over an Ordered Finite Category
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    Chapter 27 Flat Base Change
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    Chapter 28 Preservation of Quasi-Coherent Cohomology
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    Chapter 29 Compatibility with Derived Direct Images
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    Chapter 30 Compatibility with Derived Right Inductions
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    Chapter 31 Equivariant Grothendieck's Duality
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    Chapter 32 Morphisms of Finite Flat Dimension
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    Chapter 33 Cartesian Finite Morphisms
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    Chapter 34 Cartesian Regular Embeddings and Cartesian Smooth Morphisms
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    Chapter 35 Group Schemes Flat of Finite Type
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    Chapter 36 Compatibility with Derived G -Invariance
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    Chapter 37 Equivariant Dualizing Complexes and Canonical Modules
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    Chapter 38 A Generalization of Watanabe's Theorem
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    Chapter 39 Other Examples of Diagrams of Schemes
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Title
Foundations of Grothendieck Duality for Diagrams of Schemes
Published by
Springer Berlin Heidelberg, March 2009
DOI 10.1007/978-3-540-85420-3
ISBNs
978-3-54-085419-7, 978-3-54-085420-3
Authors

Lipman, Joseph, Hashimoto, Mitsuyasu

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 15 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 2 13%
Italy 1 7%
Unknown 12 80%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 5 33%
Student > Master 3 20%
Researcher 3 20%
Unspecified 1 7%
Professor > Associate Professor 1 7%
Other 0 0%
Unknown 2 13%
Readers by discipline Count As %
Mathematics 10 67%
Physics and Astronomy 2 13%
Unspecified 1 7%
Unknown 2 13%