نظریه K جبری: از سمینار نظریه K جبری که در دانشگاه دولتی لنینگراد توسط آ. آ. سوسلین برگزار شد

This volume contains previously unpublished papers on algebraic K -theory written by Leningrad mathematicians over the last few years.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, \*l-operations in higher K -theory, and Chow groups of nonsingular quadrics. The second part deals with Minor K -theory: Gersten's conjecture for K 3 M 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. This volume contains previously unpublished papers on algebraic $K$-theory written by Leningrad mathematicians over the last few years.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. Contains papers on algebraic $K$-theory by Leningrad mathematicians. This work covers 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. A. A. Suslin, Editor ; [translation Edited By A.b. Sossinsky]. Previously Unpublished Papers On Algebraic K-theory Written By Leningrad Authors During The Last Few Years--pref. Includes Bibliographical References.