The purpose of this paper is to define Chern classes for higher algebraic K-theory in the
greatest possible generality and to generalize the Riemann-Roch theorems of Grothendieck …

This is a revised and shortened version of our paper" Equivariant intersection theory"(alg-
geom/9603008). In particular, the sections on Riemann-Roch and localization are omitted …

The basic purpose of this paper is to prove bijectivity of the norm residue homomorphism for
any field of characteristic prime to. In particular, if, then any central simple algebra of …

Chow Groups with Coefficients Page 1 Doc. Math. J. DMV 319 Chow Groups with Coefficients
Markus Rost Received: October 18, 1996 Communicated by Alexander S. Merkurjev Abstract …

298 J. s. MILNE when all the terms are defined and the torsion subgroup of M.) For Q* p, the
characteristic of k, H'(X, Zf (r)) will denote the Q-adic etale cohomology group, and for Q p it …

In his article 1161, Mumford constructed an intersection product on the Chow groups (with
rational coefficients) of the moduli space. fg of stable curves of genus g over a field k of …

Let X be a regular noetherian scheme. In a letter to Soul6 ([Be]) Beilinson conjectured for
each non-negative integer n the existence of complexes F (n, X) of Zariski sheaves on X …

Recent results on the structure of the group K 2 of a field and its connections with the Brauer
group are presented. The K-groups of Severi-Brauer varieties and simple algebras are …

It follows immediately by [K1] 1.2. 1 that the homomorphisms* Ix factor through the groups of
cycles modulo algebraic equivalence. In order to understand what this theorem means …

If R is a smooth semi-local algebra of geometric type over an infinite field, we prove that the
Milnor K-group KM n (R) surjects onto the higher Chow group CH n (R, n) for all n≥ 0. Our …