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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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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-9910814060303321
Lipman Joseph  
Providence, Rhode Island : , : American Mathematical Society, , [2005]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui