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

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

2005-11-28

arxiv.org/abs/math/0511665v1

Mathematics

Algebraic Geometry

53 pages, LaTeX2e

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Non-commutative Cartier operator and Hodge-to-de Rham degeneration does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-commutative Cartier operator and Hodge-to-de Rham degeneration, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-commutative Cartier operator and Hodge-to-de Rham degeneration will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-25388