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Foundations of Grothendieck Duality for Diagrams of Schemes [[electronic resource] /] / by Joseph Lipman, Mitsuyasu Hashimoto
| Foundations of Grothendieck Duality for Diagrams of Schemes [[electronic resource] /] / by Joseph Lipman, Mitsuyasu Hashimoto |
| Autore | Lipman Joseph |
| Edizione | [1st ed. 2009.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009 |
| Descrizione fisica | 1 online resource (X, 478 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Algebraic geometry
Category theory (Mathematics) Homological algebra Algebraic Geometry Category Theory, Homological Algebra |
| ISBN | 3-540-85420-7 |
| Classificazione | 14A2018E3014F9918A9918F9914L30 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNISA-996466538203316 |
Lipman Joseph
|
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Foundations of Grothendieck duality for diagrams of schemes / / Joseph Lipman, Mitsuyasu Hashimoto
| Foundations of Grothendieck duality for diagrams of schemes / / Joseph Lipman, Mitsuyasu Hashimoto |
| Autore | Lipman Joseph |
| Edizione | [1st ed. 2009.] |
| Pubbl/distr/stampa | Berlin, : Springer, c2009 |
| Descrizione fisica | 1 online resource (X, 478 p.) |
| Disciplina | 516.35 |
| Altri autori (Persone) | HashimotoMitsuyasu <1962-> |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Categories (Mathematics)
Duality theory (Mathematics) Functor theory Schemes (Algebraic geometry) Sheaf theory |
| ISBN |
9783540854203
3540854207 |
| Classificazione | 14A2018E3014F9918A9918F9914L30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNINA-9910484895603321 |
|
Lipman Joseph
|
||
| Berlin, : Springer, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Residues and traces of differential forms via Hochschild homology / / Joseph Lipman
| Residues and traces of differential forms via Hochschild homology / / Joseph Lipman |
| Autore | Lipman Joseph |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1987] |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 512/.72 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Congruences and residues
Homology theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7651-1
0-8218-5404-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Â0. Introduction""; ""Â1. The residue homomorphism""; ""Â2. Functorial properties""; ""Â3. Quasi-regular sequences""; ""Appendix A: Residues on algebraic varieties""; ""Appendix B: Exterior differentiation""; ""Â4. Trace and cotrace""; ""References"" |
| Altri titoli varianti | Hochschild homology |
| Record Nr. | UNINA-9910480338403321 |
|
Lipman Joseph
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1987] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Residues and traces of differential forms via Hochschild homology / / Joseph Lipman
| Residues and traces of differential forms via Hochschild homology / / Joseph Lipman |
| Autore | Lipman Joseph |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1987] |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 512/.72 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Congruences and residues
Homology theory |
| ISBN |
0-8218-7651-1
0-8218-5404-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- 0. Introduction -- 1. The residue homomorphism -- 2. Functorial properties -- 3. Quasi-regular sequences -- Appendix A: Residues on algebraic varieties -- Appendix B: Exterior differentiation -- 4. Trace and co-trace -- References -- . |
| Altri titoli varianti | Hochschild homology |
| Record Nr. | UNINA-9910788784703321 |
|
Lipman Joseph
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1987] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Residues and traces of differential forms via Hochschild homology / / Joseph Lipman
| Residues and traces of differential forms via Hochschild homology / / Joseph Lipman |
| Autore | Lipman Joseph |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1987] |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 512/.72 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Congruences and residues
Homology theory |
| ISBN |
0-8218-7651-1
0-8218-5404-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- 0. Introduction -- 1. The residue homomorphism -- 2. Functorial properties -- 3. Quasi-regular sequences -- Appendix A: Residues on algebraic varieties -- Appendix B: Exterior differentiation -- 4. Trace and co-trace -- References -- . |
| Altri titoli varianti | Hochschild homology |
| Record Nr. | UNINA-9910828936703321 |
|
Lipman Joseph
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1987] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological invariants of quasi-ordinary singularities, embedded topological classificationof quasi-ordinary singularities / / Joseph Lipman, Yih-Nan Gau ; with an appendix by Joseph Lipman
| Topological invariants of quasi-ordinary singularities, embedded topological classificationof quasi-ordinary singularities / / Joseph Lipman, Yih-Nan Gau ; with an appendix by Joseph Lipman |
| Autore | Lipman Joseph |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Singularities (Mathematics)
Analytic spaces Knot theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0808-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Topological invariants of quasi-ordinary singularities""; ""Introduction""; ""I â€? Rational equivalence and local homology in codimension one""; ""Â1. Local fundamental class map""; ""Â2. Codimension one cycles at quotient singularities""; ""Â3. Quasi-ordinary singularities""; ""Â4. Presentation of the group A[sub(d-1)] â?? H[sub(2d-2)]""; ""II â€? The hypersurface case""; ""Â5. Characteristic monomials of quasi-ordinary parametrizations""; ""Â6. Topological invariance of the reduced branching sequence""; ""Â7. Appendix: The singular locus""; ""References""
""Embedded topological classification of quasi-ordinary singularities""""Introduction""; ""Â1. Statement of main results""; ""Â2. Some plane sections of X and two key lemmas""; ""Â3. Topological invariants""; ""Â4. Proof of the main theorem""; ""References""; ""Appendix"" |
| Record Nr. | UNINA-9910480750903321 |
|
Lipman Joseph
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological invariants of quasi-ordinary singularities, embedded topological classificationof quasi-ordinary singularities / / Joseph Lipman, Yih-Nan Gau ; with an appendix by Joseph Lipman
| Topological invariants of quasi-ordinary singularities, embedded topological classificationof quasi-ordinary singularities / / Joseph Lipman, Yih-Nan Gau ; with an appendix by Joseph Lipman |
| Autore | Lipman Joseph |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Singularities (Mathematics)
Analytic spaces Knot theory |
| ISBN | 1-4704-0808-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Topological invariants of quasi-ordinary singularities""; ""Introduction""; ""I â€? Rational equivalence and local homology in codimension one""; ""Â1. Local fundamental class map""; ""Â2. Codimension one cycles at quotient singularities""; ""Â3. Quasi-ordinary singularities""; ""Â4. Presentation of the group A[sub(d-1)] â?? H[sub(2d-2)]""; ""II â€? The hypersurface case""; ""Â5. Characteristic monomials of quasi-ordinary parametrizations""; ""Â6. Topological invariance of the reduced branching sequence""; ""Â7. Appendix: The singular locus""; ""References""
""Embedded topological classification of quasi-ordinary singularities""""Introduction""; ""Â1. Statement of main results""; ""Â2. Some plane sections of X and two key lemmas""; ""Â3. Topological invariants""; ""Â4. Proof of the main theorem""; ""References""; ""Appendix"" |
| Record Nr. | UNINA-9910788886003321 |
|
Lipman Joseph
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological invariants of quasi-ordinary singularities, embedded topological classificationof quasi-ordinary singularities / / Joseph Lipman, Yih-Nan Gau ; with an appendix by Joseph Lipman
| Topological invariants of quasi-ordinary singularities, embedded topological classificationof quasi-ordinary singularities / / Joseph Lipman, Yih-Nan Gau ; with an appendix by Joseph Lipman |
| Autore | Lipman Joseph |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Singularities (Mathematics)
Analytic spaces Knot theory |
| ISBN | 1-4704-0808-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Topological invariants of quasi-ordinary singularities""; ""Introduction""; ""I â€? Rational equivalence and local homology in codimension one""; ""Â1. Local fundamental class map""; ""Â2. Codimension one cycles at quotient singularities""; ""Â3. Quasi-ordinary singularities""; ""Â4. Presentation of the group A[sub(d-1)] â?? H[sub(2d-2)]""; ""II â€? The hypersurface case""; ""Â5. Characteristic monomials of quasi-ordinary parametrizations""; ""Â6. Topological invariance of the reduced branching sequence""; ""Â7. Appendix: The singular locus""; ""References""
""Embedded topological classification of quasi-ordinary singularities""""Introduction""; ""Â1. Statement of main results""; ""Â2. Some plane sections of X and two key lemmas""; ""Â3. Topological invariants""; ""Â4. Proof of the main theorem""; ""References""; ""Appendix"" |
| Record Nr. | UNINA-9910819090303321 |
|
Lipman Joseph
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Variance and duality for Cousin complexes on formal schemes / / Joseph Lipman, Suresh Nayak, Pramathanath Sastry
| Variance and duality for Cousin complexes on formal schemes / / Joseph Lipman, Suresh Nayak, Pramathanath Sastry |
| Autore | Lipman Joseph |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (290 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Homology theory
Abelian categories Duality theory (Mathematics) Algebra, Homological Schemes (Algebraic geometry) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7965-0
0-8218-5709-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Part 1. Pseudofunctorial behavior of Cousin complexes on formal schemes""; ""1. Introduction and main results""; ""2. Preliminaries on formal schemes""; ""3. Local cohomology and Cousin complexes""; ""4. Generalized fractions and pseudofunctors""; ""5. Pseudofunctorial behavior for smooth maps""; ""6. Closed immersions and base change""; ""7. The retract case""; ""8. The main theorem""; ""9. Residual and dualizing complexes""; ""10. Some explicit descriptions""; ""References""; ""Part 2. Duality for Cousin complexes""; ""1. Introduction""; ""1.1. Conventions""
""6.1. Definitions and notations""""6.2. Closed immersions""; ""6.3. General maps""; ""7. The Comparison map for flat morphisms""; ""7.1. Tor and Ext""; ""7.2. Local cohomology and the twisted inverse image""; ""8. The universal property of the trace""; ""8.1. Duality for Cousin complexes""; ""9. Variants""; ""9.1. Preliminaries""; ""9.2. Twisted inverse image via residual complexes""; ""9.3. Comparison of the two twisted inverse images""; ""References""; ""Part 3. Pasting pseudofunctors""; ""1. Introduction""; ""2. The abstract pasting results"" ""3. Proofs I (generalized isomorphisms in the labeled setup)""""4. Proofs II (the cocycle condition)""; ""5. Proofs III (old isomorphisms and linearity)""; ""6. Proofs IV (the output)""; ""7. Applications""; ""References""; ""Index"" |
| Record Nr. | UNINA-9910479930903321 |
|
Lipman Joseph
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Variance and duality for Cousin complexes on formal schemes / / Joseph Lipman, Suresh Nayak, Pramathanath Sastry
| Variance and duality for Cousin complexes on formal schemes / / Joseph Lipman, Suresh Nayak, Pramathanath Sastry |
| Autore | Lipman Joseph |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (290 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Homology theory
Abelian categories Duality theory (Mathematics) Algebra, Homological Schemes (Algebraic geometry) |
| ISBN |
0-8218-7965-0
0-8218-5709-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Part 1. Pseudofunctorial behavior of Cousin complexes on formal schemes""; ""1. Introduction and main results""; ""2. Preliminaries on formal schemes""; ""3. Local cohomology and Cousin complexes""; ""4. Generalized fractions and pseudofunctors""; ""5. Pseudofunctorial behavior for smooth maps""; ""6. Closed immersions and base change""; ""7. The retract case""; ""8. The main theorem""; ""9. Residual and dualizing complexes""; ""10. Some explicit descriptions""; ""References""; ""Part 2. Duality for Cousin complexes""; ""1. Introduction""; ""1.1. Conventions""
""6.1. Definitions and notations""""6.2. Closed immersions""; ""6.3. General maps""; ""7. The Comparison map for flat morphisms""; ""7.1. Tor and Ext""; ""7.2. Local cohomology and the twisted inverse image""; ""8. The universal property of the trace""; ""8.1. Duality for Cousin complexes""; ""9. Variants""; ""9.1. Preliminaries""; ""9.2. Twisted inverse image via residual complexes""; ""9.3. Comparison of the two twisted inverse images""; ""References""; ""Part 3. Pasting pseudofunctors""; ""1. Introduction""; ""2. The abstract pasting results"" ""3. Proofs I (generalized isomorphisms in the labeled setup)""""4. Proofs II (the cocycle condition)""; ""5. Proofs III (old isomorphisms and linearity)""; ""6. Proofs IV (the output)""; ""7. Applications""; ""References""; ""Index"" |
| Record Nr. | UNINA-9910788659103321 |
|
Lipman Joseph
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||