Semi-topological K-theory for certain projective varieties
K-Theory and Homology
2007-05-23 v2 Algebraic Geometry
Abstract
In this paper we compute Lawson homology groups and semi-topological K-theory for some threefolds and fourfolds. We consider smooth complex projective varieties whose zero cycles are supported on a proper subvariety. Rationally connected varieties are examples of such varieties. The computation makes use of a technique of Bloch and Srinavas, of the Bloch-Kato conjecture and of the spectral sequence relating morphic cohomology and semi-topological K-theory.
Cite
@article{arxiv.math/0601008,
title = {Semi-topological K-theory for certain projective varieties},
author = {Mircea Voineagu},
journal= {arXiv preprint arXiv:math/0601008},
year = {2007}
}
Comments
25 pages; improved style, one proposition added