Large Deviations and Geodesic Rays on Toric Varieties

@inproceedings{Song2008LargeDA,
  title={Large Deviations and Geodesic Rays on Toric Varieties},
  author={Jian Song and Steve Zelditch},
  year={2008}
}
This article contains a detailed study in the case of a toric variety of the geodesic rays φt defined by Phong-Sturm corresponding to test configurations T in the sense of Donaldson. We show that the ‘Bergman approximations’ φk(t, z) of Phong-Sturm converge in C to the geodesic ray φt, and that the geodesic ray itself is C 1,1 and no better. In particular… CONTINUE READING