Non-commutative Cartier operator and Hodge-to-de Rham degeneration

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dc.creatorKaledin, D.
dc.date2005-11-28
dc.date.accessioned2026-07-07T06:51:47Z
dc.date.available2026-07-07T06:51:47Z
dc.descriptionWe introduce a version of the Cartier isomorphism for de Rham cohomology valid for associative, not necessarily commutative algebras over a field of positive characteristic. Using this, we imitate the well-known argument of P. Deligne and L. Iluusie and prove, in some cases, a conjecture of M. Kontsevich which claims that the Hodge-to-de Rham, a.k.a. Hochschild-to-cyclic spectral sequence degenerates.
dc.description53 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0511665
dc.identifierhttp://arxiv.org/abs/math/0511665
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105104
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.titleNon-commutative Cartier operator and Hodge-to-de Rham degeneration
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