L^2-Betti numbers of hypersurface complements

Details L^2-Betti numbers of hypersurface complements L^2-Betti numbers of hypersurface complements

2012-02-03

arxiv.org/abs/1202.0844v2

Mathematics

Algebraic Topology

10 pages; comments are very welcome; v2: minor clarifications added in the text

Scientific paper

In \cite{DJL07} it was shown that if $\scra$ is an affine hyperplane arrangement in $\C^n$, then at most one of the $L^2$--Betti numbers $b_i^{(2)}(\C^n\sm \scra,\id)$ is non--zero. In this note we prove an analogous statement for complements of complex affine hyperurfaces in general position at infinity. Furthermore, we recast and extend to this higher-dimensional setting results of \cite{FLM,LM06} about $L^2$--Betti numbers of plane curve complements.

Affiliated with

Also associated with

No associations

Rating

L^2-Betti numbers of hypersurface complements 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 L^2-Betti numbers of hypersurface complements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and L^2-Betti numbers of hypersurface complements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-329606