Canonical measures and the dynamical systems of Bergman kernels

Details Canonical measures and the dynamical systems of Bergman kernels Canonical measures and the dynamical systems of Bergman kernels

2008-05-13

arxiv.org/abs/0805.1829v4

Mathematics

Algebraic Geometry

Minor changes

Scientific paper

In this article, we construct the canonical semipositive current or the canonical measure ($=$ the potential of the canonical semipositive current) on a smooth projective variety of nonnegative Kodaira dimension in terms of a dynamical system of Bergman kernels. This current is considered to be a generalization of a K\"{a}hler-Einstein metric and coincides the one constructed independently by J. Song and G. Tian. The major difference between their work and the present article is that they found the canonical measure in terms of K\"{a}her-Ricci flows, while I found the canonical measure in terms of the dynamical system of Bergman kernels. Hence the present approach can be viewed as the discrete version of the K\"{a}hler-Ricci flow.

Affiliated with

Also associated with

No associations

Rating

Canonical measures and the dynamical systems of Bergman kernels 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 Canonical measures and the dynamical systems of Bergman kernels, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Canonical measures and the dynamical systems of Bergman kernels will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472396