Record:   Prev Next
作者 Haesemeyer, Christian, author
書名 The norm residue theorem in motivic cohomology / Christian Haesemeyer, Charles A. Weibel
出版項 Princeton, New Jersey : Princeton University Press, 2019
國際標準書號 0691191042
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA612.3 H34 2019    在架上    30340200562746
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 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 ⥴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 The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduce the key figures behind its development.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
主題 Homology theory
Alt Author Weibel, Charles A., 1950- author
Record:   Prev Next