Vertical blow ups of capillary surfaces in . I: Convex corners.
Vertical blow ups of capillary surfaces in . II: Nonconvex corners.
Uniqueness of Kähler-Einstein cone metrics.
The purpose of this paper is to describe a method to construct a Kähler metric with cone singularity along a divisor and to illustrate a type of maximum principle for these incomplete metrics by showing that Kähler-Einstein metrics are unique in geometric Hölder spaces.
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