Lecture Notes on Motivic Cohomology (Clay Mathematics Monographs)

Lecture Notes on Motivic Cohomology (Clay Mathematics Monographs)

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

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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

Product Details

  • ISBN13: 9780821853214
  • Format: Paperback
  • Number Of Pages: 216
  • ID: 9780821853214
  • ISBN10: 082185321X

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