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The Norm Residue Theorem in Motivic Cohomology

Af: Charles A. Weibel, Christian Haesemeyer Engelsk Paperback

The Norm Residue Theorem in Motivic Cohomology

Af: Charles A. Weibel, Christian Haesemeyer Engelsk Paperback
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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 The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky’s proof and introduce the key figures behind its development.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 proceed 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.

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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 The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky’s proof and introduce the key figures behind its development.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 proceed 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.

Produktdetaljer
Sprog: Engelsk
Sider: 320
ISBN-13: 9780691191041
Indbinding: Paperback
Udgave:
ISBN-10: 0691191042
Udg. Dato: 11 jun 2019
Længde: 19mm
Bredde: 237mm
Højde: 236mm
Forlag: Princeton University Press
Oplagsdato: 11 jun 2019
Forfatter(e) Charles A. Weibel, Christian Haesemeyer


Kategori Algebraisk geometri


ISBN-13 9780691191041


Sprog Engelsk


Indbinding Paperback


Sider 320


Udgave


Længde 19mm


Bredde 237mm


Højde 236mm


Udg. Dato 11 jun 2019


Oplagsdato 11 jun 2019


Forlag Princeton University Press

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