Lie-Rinehart cohomology and integrable connections on modules of rank one

Details Lie-Rinehart cohomology and integrable connections on modules of rank one Lie-Rinehart cohomology and integrable connections on modules of rank one

2008-10-16

arxiv.org/abs/0810.2926v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

Let $k$ be an algebraically closed field of characteristic 0, let $R$ be a commutative $k$-algebra, and let $M$ be a torsion free $R$-module of rank one with a connection $\nabla$. We consider the Lie-Rinehart cohomology with values in $End_{R}(M)$ with its induced connection, and give an interpretation of this cohomology in terms of the integrable connections on $M$. When $R$ is an isolated singularity of dimension $d\geq2$, we relate the Lie-Rinehart cohomology to the topological cohomology of the link of the singularity, and when $R$ is a quasi-homogenous hypersurface of dimension two, we give a complete computation of the cohomology.

Affiliated with

Also associated with

No associations

Rating

Lie-Rinehart cohomology and integrable connections on modules of rank one 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 Lie-Rinehart cohomology and integrable connections on modules of rank one, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lie-Rinehart cohomology and integrable connections on modules of rank one will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-368164