Constant scalar curvature Kaehler surfaces and parabolic polystability

Details Constant scalar curvature Kaehler surfaces and parabolic polystability Constant scalar curvature Kaehler surfaces and parabolic polystability

2007-03-08

arxiv.org/abs/math/0703212v2

Mathematics

Differential Geometry

28 pages; no figures; v2 relaxed notion of sporadic parabolic structures

Scientific paper

A complex ruled surface admits an iterated blow-up encoded by a parabolic structure with rational weights. Under a condition of parabolic stability, one can construct a Kaehler metric of constant scalar curvature on the blow-up according to math.DG/0412405. We present a generalization of this construction to the case of parabolically polystable ruled surfaces. Thus we can produce numerous examples of Kaehler surfaces of constant scalar curvature with circle or toric symmetry.

Affiliated with

Also associated with

No associations

Rating

Constant scalar curvature Kaehler surfaces and parabolic polystability 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 Constant scalar curvature Kaehler surfaces and parabolic polystability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constant scalar curvature Kaehler surfaces and parabolic polystability will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-642754