LEADER 03517nam 2200685 450 001 9910814060303321 005 20180731044130.0 010 $a0-8218-7965-0 010 $a0-8218-5709-6 035 $a(CKB)3240000000069901 035 $a(EBL)3113152 035 $a(SSID)ssj0000850407 035 $a(PQKBManifestationID)11530771 035 $a(PQKBTitleCode)TC0000850407 035 $a(PQKBWorkID)10842480 035 $a(PQKB)11581503 035 $a(MiAaPQ)EBC3113152 035 $a(WaSeSS)Ind00039687 035 $a(RPAM)13838234 035 $a(PPN)197107028 035 $a(EXLCZ)993240000000069901 100 $a20050111h20052005 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aVariance and duality for Cousin complexes on formal schemes /$fJoseph Lipman, Suresh Nayak, Pramathanath Sastry 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2005] 210 4$dİ2005 215 $a1 online resource (290 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$v375 300 $aDescription based upon print version of record. 311 $a0-8218-3705-2 320 $aIncludes bibliographical references and index. 327 $a""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"" 327 $a""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"" 327 $a""3. Proofs I (generalized isomorphisms in the labeled setup)""""4. Proofs II (the cocycle condition)""; ""5. Proofs III (old isomorphisms and linearity)""; ""6. Proofs IV (the output)""; ""7. Applications""; ""References""; ""Index"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 375. 606 $aHomology theory 606 $aAbelian categories 606 $aDuality theory (Mathematics) 606 $aAlgebra, Homological 606 $aSchemes (Algebraic geometry) 615 0$aHomology theory. 615 0$aAbelian categories. 615 0$aDuality theory (Mathematics) 615 0$aAlgebra, Homological. 615 0$aSchemes (Algebraic geometry) 676 $a516.3/5 700 $aLipman$b Joseph$059702 702 $aNayak$b Suresh$f1969- 702 $aSastry$b Pramathanath$f1961- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910814060303321 996 $aVariance and duality for Cousin complexes on formal schemes$93987980 997 $aUNINA