Geodesic
On the cyclic homology of ringed spaces and schemes
Documenta mathematica, Tome 3 (1998), pp. 231-259
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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.
DOI : 10.4171/dm/42
Classification : 16E40
Mots-clés : derived category, Chern character, cyclic homology, ringed space, scheme, perfect complex 
@article{10_4171_dm_42,
     author = {Bernhard Keller},
     title = {On the cyclic homology of ringed spaces and schemes},
     journal = {Documenta mathematica},
     pages = {231--259},
     year = {1998},
     volume = {3},
     doi = {10.4171/dm/42},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/42/}
}
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Bernhard Keller. On the cyclic homology of ringed spaces and schemes. Documenta mathematica, Tome 3 (1998), pp. 231-259. doi: 10.4171/dm/42

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