Existence of Kähler-Einstein metrics and multiplier ideal sheaves on del Pezzo surfaces

Details Existence of Kähler-Einstein metrics and multiplier ideal sheaves on del Pezzo surfaces Existence of Kähler-Einstein metrics and multiplier ideal sheaves on del Pezzo surfaces

2007-10-30

arxiv.org/abs/0710.5724v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

We apply Nadel's method of multiplier ideal sheaves to show that every complex del Pezzo surface of degree at most six whose automorphism group acts without fixed points has a K\"ahler-Einstein metric. In particular, all del Pezzo surfaces of degree $4,5$, or $6$ and certain special del Pezzo surfaces of lower degree are shown to have a K\"ahler-Einstein metric. This result is not new, but the proofs given in the present paper are less involved than earlier ones by Siu, Tian and Tian-Yau.

Affiliated with

Also associated with

No associations

Rating

Existence of Kähler-Einstein metrics and multiplier ideal sheaves on del Pezzo surfaces 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 Existence of Kähler-Einstein metrics and multiplier ideal sheaves on del Pezzo surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence of Kähler-Einstein metrics and multiplier ideal sheaves on del Pezzo surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-365976