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Lecture notes on motivic cohomology

Author: Carlo Mazza; Vladimir Voevodsky; Charles Weibel
Publisher: Providence, R.I. : American Mathematical Society, 2006
Series: Clay mathematics monographs, 2
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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The notion of a motive is an elusive one, like its namesake 'the motif' of Cezanne's impressionist method of painting. This title includes lectures that correspond to one-hour lectures given by the  Read more...

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Document Type: Book
All Authors / Contributors: Carlo Mazza; Vladimir Voevodsky; Charles Weibel
ISBN: 0821838474 9780821838471
OCLC Number: 474965919
Description: 216 s. : ill.
Contents: Presheaves with transfers: The category of finite correspondences Presheaves with transfers Motivic cohomology Weight one motivic cohomology Relation to Milnor $K$-theory Etale motivic theory: Etale sheaves with transfers The relative Picard group and Suslin's rigidity theorem Derived tensor products $\mathbb{A}^1$-weak equivalence Etale motivic cohomology and algebraic singular homology Nisnevich sheaves with transfers: Standard triples Nisnevich sheaves Nisnevich sheaves with transfers The triangulated category of motives: The category of motives The complex $\mathbb{Z}(n)$ and $\mathbb{P}^n$ Equidimensional cycles Higher Chow groups: Higher Chow groups Higher Chow groups and equidimensional cycles Motivic cohomology and higher Chow groups Geometric motives Zariski sheaves with transfers: Covering morphisms of triples Zariski sheaves with transfers Contractions Homotopy invariance of cohomology Bibliography Glossary Index.
Series Title: Clay mathematics monographs, 2

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