Ordinary holomorphic webs of codimension one

Details Ordinary holomorphic webs of codimension one Ordinary holomorphic webs of codimension one

2007-03-20

arxiv.org/abs/math/0703596v2

Mathematics

Dynamical Systems

13 pages

Scientific paper

The main change with respect to the previous version is a change of terminology : we call "ordinary" the webs previously called "regular". A holomorphic $d$-web of codimension one in dimension $n$ is "ordinary", if it satisfies to some condition of genericity. In dimension at least 3, any such web has a rank bounded from above by a number $\pi'(n,d)$ strictly smaller than the bound $\pi(n,d)$ of castelnuovo. This bound $\pi'(n,d)$ is optimal. Moreover, for some $d$'s, the abelian relations are sections with vanishing covariant derivative of some bundle with a connection, the curvature of which generalizes the Blaschke curvature. In dimension 2, we recover results of H\'enaut and Pantazi

Affiliated with

Also associated with

No associations

Rating

Ordinary holomorphic webs of codimension 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 Ordinary holomorphic webs of codimension one, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ordinary holomorphic webs of codimension one will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-123529