The Norm Residue Theorem in Motivic Cohomology : (AMS-200) /
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...
Clasificación: | Libro Electrónico |
---|---|
Autores principales: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Princeton, NJ :
Princeton University Press,
[2019]
|
Colección: | Annals of Mathematics Studies ;
375 |
Temas: | |
Acceso en línea: | Texto completo Texto completo |
Sumario: | 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 The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduce the key figures behind its development.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. |
---|---|
Descripción Física: | 1 online resource (320 p.) |
ISBN: | 9780691189635 9783110610765 9783110664232 9783110610406 9783110606362 9783110494914 9783110663365 |
Acceso: | restricted access |