Algebraic K-theory
著者
書誌事項
Algebraic K-theory
（Advances in Soviet mathematics, v. 4）
American Mathematical Society, c1991
大学図書館所蔵 件 / 全36件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references
"From The Seminar on Algebraic K-Theory, held at Leningrad State University by A.A. Suslin"
内容説明・目次
内容説明
This volume contains previously unpublished papers on algebraic $K$-theory written by Leningrad mathematicians over the last few years.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.
目次
Part I: Computations in $K$-theory.: Chow groups of quadrics and the stabilization conjecture by N. A. Karpenko Simplicial definition of $\lambda$-operations in higher $K$-theory by A. Nenashev On algebraic $K$-theory of generalized flag fiber bundles and some of their twisted forms by I. A. Panin On algebraic $K$-theory of some principal homogeneous spaces by I. A. Panin $K$-theory and $\scr K$-cohomology of certain group varieties by A. A. Suslin $SK_1$ of division algebras and Galois cohomology by A. A. Suslin Part II: Milnor $K$-theory.: On class field theory of multidimensional local fields of positive characteristic by I. Fesenko On $p$-torsion in $K^M_*$ for fields of characteristic $p$ by O. Izhboldin Triviality of the higher Chern classes in the $K$-theory of global fields by A. Musikhin and A. A. Suslin Milnor's $K_3$ of a discrete valuation ring by A. A. Suslin and V. A. Yarosh.
「Nielsen BookData」 より
