Description 
1 online resource (290 p.) 
Series 
Contemporary mathematics, 02714132 ; 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 
