Mathematics > Differential Geometry
[Submitted on 13 May 2018]
Title:Conic singularities metrics with prescribed scalar curvature: a priori estimates for normal crossing divisors
View PDFAbstract:The purpose of this paper is to prove the a priori estimates for constant scalar curvature Kaehler metrics with conic singularities along normal crossing divisors. The zero order estimates are proved by a reformulated version of Alexandrov's maximum principle. The higher order estimates follow from Chen-Cheng's frame work, equipped with new techniques to handle the singularities. Finally, we extend these estimates to the twisted equations.
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