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arXiv · 1805.04944

Conic singularities metrics with prescribed scalar curvature: a priori estimates for normal crossing divisors

Long Li·Jian Wang·Kai Zheng
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Abstract

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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Long Li, Jian Wang, Kai Zheng. 2018-05-13. Conic singularities metrics with prescribed scalar curvature: a priori estimates for normal crossing divisors. https://doi.org/10.24033/bsmf.2799

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