Algebraic K-theory

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A01=American Mathematical Society
Author_American Mathematical Society
Category=PBF
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Product details

  • ISBN 9780821841037
  • Weight: 567g
  • Publication Date: 30 Jul 1991
  • Publisher: American Mathematical Society
  • Publication City/Country: US
  • Product Form: Hardback
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This volume contains previously unpublished papers on algebraic $K$-theory written by Leningrad mathematicians over the last few years. The main topic of the first part is the computation of $K$-theory and $K$-cohomology for special varieties, such as group varieties and their principal homogeneous spaces, flag fiber bundles and their twisted forms, $\lambda$-operations in higher $K$-theory, and Chow groups of nonsingular quadrics. The second part deals with Milnor $K$-theory: Gersten's conjecture for $K^M_3$ of a discrete valuation ring, the absence of $p$-torsion in $K^M_*$ for fields of characteristic $p$, Milnor $K$-theory and class field theory for multidimensional local fields, and the triviality of higher Chern classes for the $K$-theory of global fields.

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