03517nam 2200685 450 991081406030332120180731044130.00-8218-7965-00-8218-5709-6(CKB)3240000000069901(EBL)3113152(SSID)ssj0000850407(PQKBManifestationID)11530771(PQKBTitleCode)TC0000850407(PQKBWorkID)10842480(PQKB)11581503(MiAaPQ)EBC3113152(WaSeSS)Ind00039687(RPAM)13838234(PPN)197107028(EXLCZ)99324000000006990120050111h20052005 uy| 0engur|n|---|||||txtccrVariance and duality for Cousin complexes on formal schemes /Joseph Lipman, Suresh Nayak, Pramathanath SastryProvidence, Rhode Island :American Mathematical Society,[2005]©20051 online resource (290 p.)Contemporary mathematics,0271-4132 ;375Description based upon print version of record.0-8218-3705-2 Includes bibliographical references and index.""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""Contemporary mathematics (American Mathematical Society) ;v. 375.Homology theoryAbelian categoriesDuality theory (Mathematics)Algebra, HomologicalSchemes (Algebraic geometry)Homology theory.Abelian categories.Duality theory (Mathematics)Algebra, Homological.Schemes (Algebraic geometry)516.3/5Lipman Joseph59702Nayak Suresh1969-Sastry Pramathanath1961-MiAaPQMiAaPQMiAaPQBOOK9910814060303321Variance and duality for Cousin complexes on formal schemes3987980UNINA