β Scribed by V. Srinivas
No coin nor oath required. For personal study only.
This volume contains previously unpublished papers on algebraic K -theory written by Leningrad mathematicians over the last few years.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.
π SIMILAR VOLUMES
From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very ge