The Norm residue theorem in motivic cohomology:
This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Cho...
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton ; NJ
Princeton University Press
[2019]
|
| Schriftenreihe: | Annals of mathematics studies
Number 200 |
| Schlagworte: | |
| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-898 DE-859 DE-860 DE-91 DE-20 DE-706 DE-739 Volltext |
| Zusammenfassung: | This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups.Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky’s proof and introduce the key figures behind its development. They go on to describe the highly innovative geometric constructions of Markus Rost, including the construction of norm varieties, which play a crucial role in the proof. The book then addresses symmetric powers of motives and motivic cohomology operations.Comprehensive and self-contained, The Norm Residue Theorem in Motivic Cohomology unites various components of the proof that until now were scattered across many sources of varying accessibility, often with differing hypotheses, definitions, and language |
| Beschreibung: | Bandzählung laut Website: 375 |
| Beschreibung: | 1 Online-Ressource (x, 299 Seiten) |
| ISBN: | 9780691189635 |
| DOI: | 10.1515/9780691189635 |
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| spelling | Haesemeyer, Christian (DE-588)1189945118 aut The Norm residue theorem in motivic cohomology Christian Haesemeyer ; Charles A. Weibel Princeton ; NJ Princeton University Press [2019] © 2019 1 Online-Ressource (x, 299 Seiten) txt rdacontent c rdamedia cr rdacarrier Annals of mathematics studies Number 200 Bandzählung laut Website: 375 This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups.Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky’s proof and introduce the key figures behind its development. They go on to describe the highly innovative geometric constructions of Markus Rost, including the construction of norm varieties, which play a crucial role in the proof. The book then addresses symmetric powers of motives and motivic cohomology operations.Comprehensive and self-contained, The Norm Residue Theorem in Motivic Cohomology unites various components of the proof that until now were scattered across many sources of varying accessibility, often with differing hypotheses, definitions, and language Chow-Gruppe (DE-588)4147916-6 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf Homology theory MATHEMATICS / Topology Electronic books Kohomologie (DE-588)4031700-6 s Chow-Gruppe (DE-588)4147916-6 s DE-604 Weibel, Charles A. 1950- (DE-588)142971200 aut Erscheint auch als Druck-Ausgabe Annals of mathematics studies Number 200 (DE-604)BV040389493 200 https://doi.org/10.1515/9780691189635 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Haesemeyer, Christian Weibel, Charles A. 1950- The Norm residue theorem in motivic cohomology Annals of mathematics studies Chow-Gruppe (DE-588)4147916-6 gnd Kohomologie (DE-588)4031700-6 gnd |
| subject_GND | (DE-588)4147916-6 (DE-588)4031700-6 |
| title | The Norm residue theorem in motivic cohomology |
| title_auth | The Norm residue theorem in motivic cohomology |
| title_exact_search | The Norm residue theorem in motivic cohomology |
| title_full | The Norm residue theorem in motivic cohomology Christian Haesemeyer ; Charles A. Weibel |
| title_fullStr | The Norm residue theorem in motivic cohomology Christian Haesemeyer ; Charles A. Weibel |
| title_full_unstemmed | The Norm residue theorem in motivic cohomology Christian Haesemeyer ; Charles A. Weibel |
| title_short | The Norm residue theorem in motivic cohomology |
| title_sort | the norm residue theorem in motivic cohomology |
| topic | Chow-Gruppe (DE-588)4147916-6 gnd Kohomologie (DE-588)4031700-6 gnd |
| topic_facet | Chow-Gruppe Kohomologie |
| url | https://doi.org/10.1515/9780691189635 |
| volume_link | (DE-604)BV040389493 |
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