Non-commutative Cartier operator and Hodge-to-de Rham degeneration
Algebraic Geometry
2007-05-23 v1 K-Theory and Homology
Abstract
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.
Cite
@article{arxiv.math/0511665,
title = {Non-commutative Cartier operator and Hodge-to-de Rham degeneration},
author = {D. Kaledin},
journal= {arXiv preprint arXiv:math/0511665},
year = {2007}
}
Comments
53 pages, LaTeX2e