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Periodic cyclic homology
and derived de Rham cohomology
Benjamin Antieau |
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Vol. 4 (2019), No. 3, 505–519
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Abstract |
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We use the Beilinson -structure on filtered complexes and the Hochschild–Kostant–Rosenberg theorem to construct filtrations on the negative cyclic and periodic cyclic homologies of a scheme with graded pieces given by the Hodge completion of the derived de Rham cohomology of . Such filtrations have previously been constructed by Loday in characteristic zero and by Bhatt–Morrow–Scholze for -complete negative cyclic and periodic cyclic homology in the quasisyntomic case. |
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Keywords
negative cyclic homology, periodic cyclic homology, derived
de Rham cohomology, $t$-structures, filtered complexes
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Mathematical Subject Classification 2010
Primary: 13D03, 14F40
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Milestones
Received: 9 October 2018
Revised: 22 March 2019
Accepted: 10 April 2019
Published: 17 December 2019
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Authors |
| Benjamin Antieau | |
| Department of Mathematics,
Statistics, and Computer Science University of Illinois at Chicago Chicago, IL United States |
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