عنوان

The norm residue theorem in motivic cohomology /

شابک

0691181829

شابک

0691191042

شابک

9780691181820

شابک

9780691191041

عنوان اصلي

The norm residue theorem in motivic cohomology /

نام عام مواد

[Book]

نام نخستين پديدآور

Christian Haesemeyer, Charles A. Weibel.

محل نشرو پخش و غیره

Princeton :

نام ناشر، پخش کننده و غيره

Princeton University Press,

تاریخ نشرو بخش و غیره

2019.

تاریخ نشرو بخش و غیره

©2019

نام خاص و کميت اثر

xiii, 299 pages :

ساير جزييات

charts ;

ابعاد

24 cm.

عنوان فروست

Annals of mathematics studies ;

مشخصه جلد

number 200

متن يادداشت

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

متن يادداشت

Part I. An overview of the proof -- Relation to Beilinson-Lichtenbaum -- Hilbert 90 for KnM -- Rost motives and H90 -- Existence of rost motives -- Motives over S -- The motovic group H₋₁₋₁ [superscript BM] -- Part II. Degree Formulas -- Rost's chain Lemma -- Existence of norm varieties -- Existence of rost varieties -- Part III. Model structures for the A¹-homotopy category -- Cohomology operations -- Symmetric powers of motives -- Motivic classifying spaces.

بدون عنوان

0

متن يادداشت

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 The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduce the key figures behind its development.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

موضوع مستند نشده

Homology theory.

موضوع مستند نشده

Homology theory.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Haesemeyer, Christian

مستند نام اشخاص تاييد نشده

Weibel, Charles A.,1950-

تاريخ عمليات

20200822123131.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y