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Author Lipman, Joseph, author.

Title Variance and duality for Cousin complexes on formal schemes / Joseph Lipman, Suresh Nayak, Pramathanath Sastry
Published Providence, Rhode Island : American Mathematical Society, [2005]
©2005
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Description 1 online resource (290 p.)
Series Contemporary mathematics, 0271-4132 ; 375
Contemporary mathematics (American Mathematical Society) ; v. 375
Contents ""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""
""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""
""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""
Notes Description based upon print version of record
Bibliography Includes bibliographical references and index
Notes English
Description based on print version record
Subject Abelian categories.
Algebra, Homological.
Duality theory (Mathematics)
Homology theory.
Schemes (Algebraic geometry)
Abelian categories.
Algebra, Homological.
Duality theory (Mathematics)
Homology theory.
Schemes (Algebraic geometry)
Form Electronic book
Author Nayak, Suresh, 1969- author.
Sastry, Pramathanath, 1961- author.
ISBN 0821857096
0821879650
9780821857090
9780821879658