On the regularity of geodesic rays associated to test configurations
Differential Geometry
2007-07-27 v1 Complex Variables
Abstract
Geodesic rays of class C^{1,1} are constructed for any test configuration of a positive line bundle L on X using resolution of singularities. The construction reduces to finding a subsolution of the corresponding Monge-Ampere equation. Geometrically, this is accomplished by the use a positive line bundle on the resolution which is trivial outside of the exceptional divisor.
Cite
@article{arxiv.0707.3956,
title = {On the regularity of geodesic rays associated to test configurations},
author = {D. H. Phong and Jacob Sturm},
journal= {arXiv preprint arXiv:0707.3956},
year = {2007}
}