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arXiv · 0707.3956

On the regularity of geodesic rays associated to test configurations

D. H. Phong·Jacob Sturm
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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.

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D. H. Phong, Jacob Sturm. 2007-07-26. On the regularity of geodesic rays associated to test configurations. https://arxiv.org/abs/0707.3956

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