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

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We 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.
53 pages, LaTeX2e

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Algebraic Geometry, K-Theory and Homology

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http://salesiana.dossiersoluciones.com/handle/123456789/105104

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511665
 http://arxiv.org/abs/math/0511665

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arXiv