Mixed motives / / Marc Levine

• Record Nr.: UNINA9910146556703321
• Autore: Levine Marc <1952->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1998]; ©1998
• ISBN: 0-8218-0785-4; 0-8218-3398-7
• Descrizione fisica: 1 online resource (529 p.)
• Collana: Mathematical surveys and monographs, , 0076-5376 ; ; volume 57
• Disciplina: 516.3/5
• Soggetti: Motives (Mathematics)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (pages 501-506) and indexes.
• Nota di contenuto: ""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""