LEADER 03530nam 2200553 450 001 996320723803316 005 20180328124757.0 010 $a0-8218-0785-4 010 $a0-8218-3398-7 035 $a(CKB)1000000000523293 035 $a(EBL)3112724 035 $a(SSID)ssj0001227624 035 $a(PQKBManifestationID)11710854 035 $a(PQKBTitleCode)TC0001227624 035 $a(PQKBWorkID)11279305 035 $a(PQKB)11240392 035 $a(MiAaPQ)EBC3112724 035 $a(RPAM)1668755 035 $a(PPN)193128926 035 $a(EXLCZ)991000000000523293 100 $a19980121h19981998 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMixed motives /$fMarc Levine 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1998] 210 4$dİ1998 215 $a1 online resource (529 p.) 225 1 $aMathematical surveys and monographs,$x0076-5376 ;$vvolume 57 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references (pages 501-506) and indexes. 327 $a""Contents""; ""Preface""; ""Part I. Motives""; ""Introduction: Part I""; ""Chapter I. The Motivic Category""; ""1. The motivic DG category""; ""2. The triangulated motivic category""; ""3. Structure of the motivic categories""; ""Chapter II. Motivic Cohomology and Higher Chow Groups""; ""1. Hypercohomology in the motivic category""; ""2. Higher Chow groups""; ""3. The motivic cycle map""; ""Chapter III. K-Theory and Motives""; ""1. Chern classes""; ""2. Push-forward""; ""3. Riemann-Roch""; ""Chapter IV. Homology, Cohomology, and Duality""; ""1. Duality""; ""2. Classical constructions"" 327 $a""3. Motives over a perfect field""""Chapter V. Realization of the Motivic Category""; ""1. Realization for geometric cohomology""; ""2. Concrete realizations""; ""Chapter VI. Motivic Constructions and Comparisons""; ""1. Motivic constructions""; ""2. Comparison with the category DM[sub(gm)](k)""; ""Appendix A. Equi-dimensional Cycles""; ""1. Cycles over a normal scheme""; ""2. Cycles over a reduced scheme""; ""Appendix B. K-Theory""; ""1. K-theory of rings and schemes""; ""2. K-theory and homology""; ""Part II. Categorical Algebra""; ""Introduction: Part II"" 327 $a""Chapter I. Symmetric Monoidal Structures""""1. Foundational material""; ""2. Constructions and computations""; ""Chapter II. DG Categories and Triangulated Categories""; ""1. Differential graded categories""; ""2. Complexes and triangulated categories""; ""3. Constructions""; ""Chapter III. Simplicial and Cosimplicial Constructions""; ""1. Complexes arising from simplicial and cosimplicial objects""; ""2. Categorical cochain operations""; ""3. Homotopy limits""; ""Chapter IV. Canonical Models for Cohomology""; ""1. Sheaves, sites, and topoi""; ""2. Canonical resolutions""; ""Bibliography"" 327 $a""Subject Index""""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Z""; ""Index of Notation"" 410 0$aMathematical surveys and monographs ;$vno. 57. 606 $aMotives (Mathematics) 615 0$aMotives (Mathematics) 676 $a516.3/5 700 $aLevine$b Marc$f1952-$062231 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996320723803316 996 $aMixed motives$9374502 997 $aUNISA