On the cyclic homology of ringed spaces and schemes
K-Theory and Homology
2007-05-23 v2 Algebraic Geometry
Abstract
We prove that the cyclic homology of a scheme with an ample line bundle coincides with the cyclic homology of its category of algebraic vector bundles. As a byproduct of the proof, we obtain a new construction of the Chern character of a perfect complex on a ringed space.
Keywords
Cite
@article{arxiv.math/9802007,
title = {On the cyclic homology of ringed spaces and schemes},
author = {Bernhard Keller},
journal= {arXiv preprint arXiv:math/9802007},
year = {2007}
}
Comments
28 pages, detailed introduction added, readability improved