**Advances in Soviet Mathematics**

1991;
170 pp;
Hardcover

MSC: Primary 11; 13; 14; 16; 18; 19;
Secondary 55

**Print ISBN: 978-0-8218-4103-7
Product Code: ADVSOV/4**

List Price: $107.00

Individual Member Price: $85.60

# Algebraic \(K\)-Theory

Share this page *Edited by *
*A. A. Suslin*

This volume contains previously unpublished papers on algebraic \(K\)-theory written by Leningrad mathematicians over the last few years.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.