On the cyclic homology of ringed spaces and schemes

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76561We 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.28 pages, detailed introduction added, readability improvedK-Theory and HomologyAlgebraic Geometry16E40 (Primary) 18E30, 14F05 (Secondary)On the cyclic homology of ringed spaces and schemestext