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Mixed motives / / Marc Levine
| Mixed motives / / Marc Levine |
| Autore | Levine Marc <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (529 p.) |
| Disciplina | 516.3/5 |
| Collana | Mathematical surveys and monographs |
| Soggetto topico | Motives (Mathematics) |
| ISBN |
0-8218-0785-4
0-8218-3398-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910146556703321 |
Levine Marc <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mixed motives / / Marc Levine
| Mixed motives / / Marc Levine |
| Autore | Levine Marc <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (529 p.) |
| Disciplina | 516.3/5 |
| Collana | Mathematical surveys and monographs |
| Soggetto topico | Motives (Mathematics) |
| ISBN |
0-8218-0785-4
0-8218-3398-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNISA-996320723803316 |
|
Levine Marc <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||