On the Cyclic Homology of  Ringed Spaces and Schemes

On the Cyclic Homology of Ringed Spaces and Schemes (1998)

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by Bernhard Keller

Venue:	DOC. MATH. J. DMV
Citations:	7 - 0 self

BibTeX

@MISC{Keller98onthe,
    author = {Bernhard Keller},
    title = {On the Cyclic Homology of Ringed Spaces and Schemes},
    year = {1998}
}

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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.

Citations

289	Higher algebraic K-theory I - Quillen - 1973
257	Eléments de Géométrie Algébrique - Grothendieck, Dieudonné - 1967
144	Higher algebraic K-theory of schemes and of derived categories, in: The Grothendieck Festschrift, Vol - Thomason, Trobaugh - 1990
112	Coherent sheaves on P n and problems of linear algebra, Funktsional’nyi Analyz i Ego Prilozheniya 12, No.3 - Beilinson - 1978
96	The Grothendieck duality theorem via Bousfield’s techniques and Brown representability - Neeman - 1996
96	Simplicial presheaves - Jardine - 1987
60	Deriving DG categories - Keller - 1994
56	Homotopy limits in triangulated categories - Bökstedt, Neeman - 1993
54	The connection between the K-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and - Neeman - 1992
35	On the derived categories of coherent sheaves on some homogeneous spaces - Kapranov
34	Cohomology theories - Brown - 1962
30	On the Brown representability theorem for triangulated categories, preprint - Franke
22	Cyclic homology, comodules, and mixed complexes - Kassel
21	Letter to A. Grothendieck - Joyal - 1984
19	Invariance and localization for cyclic homology of DG algebras - Keller - 1998
17	The cyclic homology of an exact category - McCarthy - 1994
17	Resolutions of unbounded complexes, Compositio Math. 65 - Spaltenstein - 1988
15	Riemann-Roch theorems via deformation quantization - Bressler, Nest, et al.
15	Differential graded homological algebra, in preparation (the manuscript of June 6 - Avramov, Foxby, et al. - 1991
15	Cohomologie a supports propres - Deligne
13	Deriving DG categories, Ann. scient - Keller - 1994
13	Cyclic Homology for schemes - Weibel - 1996
12	Derived category of coherent sheaves on Grassman manifolds. Funktsional’nyi Analiz i Ego Prilozheniya 17 - Kapranov - 1983
11	On axiomatic homology theory - Milnor - 1962
10	Étale descent for Hochschild and cyclic - Weibel, Geller - 1991
9	The Hodge filtration in cyclic homology, K-Theory 12 - Weibel - 1997
8	Cohomologie à supports propres, exposé XVII of SGA 4, Théorie des topos et cohomologie étale des schémas. Tome 3 - Deligne - 1973
8	Rings with several objects, Adv - Mitchell - 1998
7	Notes on Derived Categories and Derived Functors, preprint - Lipman
7	The derived category of coherent sheaves on a quadric, Funktsional. Anal. i Prilozhen - Kapranov - 1986
6	Cyclic homology: a survey - Loday - 1986
5	Local homology and cohomology on schemes.” Ann.Scient - Tarrio, Lopez, et al. - 1997
4	Index theorem for elliptic pairs, Elliptic pairs - Schapira, Schneiders - 1994
3	Cyclic homology, Grundlehren 301, Springer-Verlag - Loday - 1992
2	On the cyclic homology of exact categories, Preprint Nr - Keller
2	Zyklische Homologie von Schemata und relative algebraische KTheorie - Beckmann - 1991
1	Local homology and cohomology on schemes - Tarrío, López, et al. - 1997