On the regularity of geodesic rays associated to test configurations

Details On the regularity of geodesic rays associated to test configurations On the regularity of geodesic rays associated to test configurations

2007-07-26

arxiv.org/abs/0707.3956v1

Mathematics

Differential Geometry

Scientific paper

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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