On the cyclic homology of ringed spaces and schemes

Details On the cyclic homology of ringed spaces and schemes On the cyclic homology of ringed spaces and schemes

1998-02-02

arxiv.org/abs/math/9802007v2

Documenta Mathematica 3 (1998), 177-205

Mathematics

K-Theory and Homology

28 pages, detailed introduction added, readability improved

Scientific paper

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.

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