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The Hodge Filtration and Cyclic Homology |
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| Authors: | Charles Weibel |
| Abstract: | We relate the  Hodge filtration of the cohomology of a complex algebraic variety X to the Hodge decomposition of its cyclic homology. If X is smooth and projective,
is the quotient of the Betti cohomology
by the
piece of the Hodge filtration. |
| Keywords: | Cyclic homology Hodge theory hypercohomology |
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