Weight one motivic cohomology and K-theory, by Mark E. Walker

In this paper we compute the weight one layer of a filtration of the algebraic K-theory space of a smooth variety. The computations show that the homotopy groups of this layer coincide with the weight one motivic cohomology groups, thus providing evidence that the filtration is "correct". Additionally, a novel filtration of K_0(X) is studied, where X is any quasi-projective variety.

Mark E. Walker <mwalker@math.unl.edu>