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On the cyclic homology of ringed spaces and schemes

Bernhard Keller

math.KTarXiv:math/9802007

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.

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