Lecture Notes on Motivic Cohomology (Clay Mathematics Monographs No. 2)

Lecture Notes on Motivic Cohomology (Clay Mathematics Monographs No. 2)

By: Vladimir Voevodsky (author), Carlo Mazza (author), Charles Weibel (author)Paperback

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Contents

* 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

Product Details

  • publication date: 15/01/2011
  • ISBN13: 9780821853214
  • Format: Paperback
  • Number Of Pages: 216
  • ID: 9780821853214
  • ISBN10: 082185321X

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