CM-stability of blow-ups and canonical metrics

Details CM-stability of blow-ups and canonical metrics CM-stability of blow-ups and canonical metrics

2008-10-30

arxiv.org/abs/0810.5584v1

Mathematics

Algebraic Geometry

25 pages

Scientific paper

An asymptotic formula for the Tian-Paul CM-line of a flat family blown-up at a flat closed sub-scheme is given. As an application we prove that the blow-up of a polarized manifold along a (relatively) Chow-unstable submanifold admits no (extremal) constant scalar curvature Kahler metrics in classes making the exceptional divisors sufficiently small. Moreover a geometric characterization of relatively Chow-unstable configuration of points in the projective space is given. From this we get new examples of classes admitting no extremal Kahler metric also in the case of the projective plane blown-up at a finite set of points.

Affiliated with

Also associated with

No associations

Rating

CM-stability of blow-ups and canonical metrics 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 CM-stability of blow-ups and canonical metrics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and CM-stability of blow-ups and canonical metrics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-456460