On the regularity of geodesic rays associated to test configurations

2007/07/26 by Phong, D. H., Sturm, Jacob
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0707.3956

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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