說明 
xiii, 299 pages : illustrations ; 25 cm 

text txt rdacontent 

unmediated n rdamedia 

volume nc rdacarrier 
系列 
Annals of mathematics studies ; no. 200 

Annals of mathematics studies ; no. 200

附註 
Includes bibliographical references (pages [283]292) and index 

This book presents the complete proof of the BlochKato 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 ⥴ale 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 The authors draw on a multitude of published and unpublished sources to explain the largescale structure of Voevodsky's proof and introduce the key figures behind its development.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 selfcontained, 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 
主題 
Homology theory

Alt Author 
Weibel, Charles A., 1950 author

