Variance and duality for Cousin complexes on formal schemes / / Joseph Lipman, Suresh Nayak, Pramathanath Sastry
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| Autore: |
Lipman Joseph
|
| Titolo: |
Variance and duality for Cousin complexes on formal schemes / / Joseph Lipman, Suresh Nayak, Pramathanath Sastry
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| ©2005 | |
| Descrizione fisica: | 1 online resource (290 p.) |
| Disciplina: | 516.3/5 |
| Soggetto topico: | Homology theory |
| Abelian categories | |
| Duality theory (Mathematics) | |
| Algebra, Homological | |
| Schemes (Algebraic geometry) | |
| Persona (resp. second.): | NayakSuresh <1969-> |
| SastryPramathanath <1961-> | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| 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"" | |
| Titolo autorizzato: | Variance and duality for Cousin complexes on formal schemes |
| ISBN: | 0-8218-7965-0 |
| 0-8218-5709-6 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910814060303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Contemporary mathematics (American Mathematical Society) ; ; v. 375.