Page 1 The K-book An Introduction to Algebraic K-theory Charles A. Weibel Graduate Studies
in Mathematics Volume 145 American Mathematical Society Page 2 The K-book An Introduction …

In this paper we prove a localization theorem for the K-theory of commutative rings and of
schemes, Theorem 7.4, relating the K-groups of a scheme, of an open subscheme, and of …

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 relation between the category of coherent sheaves on an algebraic scheme X (ie, a
scheme of finite type over a field) and the group of algebraic cycles on X can be expressed …

A Historical background....................................... xi A. 1 The conjectural theory described by
Beilinson............ xi A. 2 Voevodsky's motivic complexes........................ xii A. 3 Morel and …

This paper describes an intersection theory for arithmetic varieties which generalizes the
work of Arakelov and others on arithmetic surfaces. We develop a theory both of arithmetic …

arXiv:math/9810166v1 [math.AG] 28 Oct 1998 Page 1 arXiv:math/9810166v1 [math.AG] 28 Oct
1998 Cycle groups for Artin stacks Andrew Kresch1 28 October 1998 Contents 1 Introduction …

Let X be a complex algebraic manifold, and let Kj (X), I@~(X, Q) be its algebraic K-groups
and singulary cohomology, respectively. We consider the Chern character ch: Kj (X)| H~-J (x …

The relations that could or should exist between algebraic cycles, algebraic K-theory, and
the cohomology of-possibly singular-varieties, are the topic of investigation of this book. The …

Grothendieck's motives, as described in [Dem, K12, Ma] are designed as a tool to
understand the cohomology of smooth projective varieties and the algebraic cycles modulo …