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Record Nr. |
UNINA9910814060303321 |
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Autore |
Lipman Joseph |
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Titolo |
Variance and duality for Cousin complexes on formal schemes / / Joseph Lipman, Suresh Nayak, Pramathanath Sastry |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2005] |
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©2005 |
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ISBN |
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0-8218-7965-0 |
0-8218-5709-6 |
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Descrizione fisica |
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1 online resource (290 p.) |
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Collana |
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Contemporary mathematics, , 0271-4132 ; ; 375 |
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Disciplina |
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Soggetti |
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Homology theory |
Abelian categories |
Duality theory (Mathematics) |
Algebra, Homological |
Schemes (Algebraic geometry) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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"" |
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