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2019 Periodic cyclic homology and derived de Rham cohomology
Benjamin Antieau
Ann. K-Theory 4(3): 505-519 (2019). DOI: 10.2140/akt.2019.4.505

Abstract

We use the Beilinson t -structure on filtered complexes and the Hochschild–Kostant–Rosenberg theorem to construct filtrations on the negative cyclic and periodic cyclic homologies of a scheme X with graded pieces given by the Hodge completion of the derived de Rham cohomology of X . Such filtrations have previously been constructed by Loday in characteristic zero and by Bhatt–Morrow–Scholze for p -complete negative cyclic and periodic cyclic homology in the quasisyntomic case.

Citation

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Benjamin Antieau. "Periodic cyclic homology and derived de Rham cohomology." Ann. K-Theory 4 (3) 505 - 519, 2019. https://doi.org/10.2140/akt.2019.4.505

Information

Received: 9 October 2018; Revised: 22 March 2019; Accepted: 10 April 2019; Published: 2019
First available in Project Euclid: 3 January 2020

zbMATH: 07146018
MathSciNet: MR4043467
Digital Object Identifier: 10.2140/akt.2019.4.505

Subjects:
Primary: 13D03 , 14F40

Keywords: $t$-structures , derived de Rham cohomology , filtered complexes , negative cyclic homology , periodic cyclic homology

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.4 • No. 3 • 2019
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