03530nam 2200553 450 99632072380331620180328124757.00-8218-0785-40-8218-3398-7(CKB)1000000000523293(EBL)3112724(SSID)ssj0001227624(PQKBManifestationID)11710854(PQKBTitleCode)TC0001227624(PQKBWorkID)11279305(PQKB)11240392(MiAaPQ)EBC3112724(RPAM)1668755(PPN)193128926(EXLCZ)99100000000052329319980121h19981998 uy| 0engur|n|---|||||txtccrMixed motives /Marc LevineProvidence, Rhode Island :American Mathematical Society,[1998]©19981 online resource (529 p.)Mathematical surveys and monographs,0076-5376 ;volume 57Description based upon print version of record.Includes bibliographical references (pages 501-506) and indexes.""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""""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""""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""""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""Mathematical surveys and monographs ;no. 57.Motives (Mathematics)Motives (Mathematics)516.3/5Levine Marc1952-62231MiAaPQMiAaPQMiAaPQBOOK996320723803316Mixed motives374502UNISA