Conic singularities metrics with prescribed scalar curvature: a priori estimates for normal crossing divisors
arXiv:1805.04944 · doi:10.24033/bsmf.2799
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.
References in corpus (5)
- On the constant scalar curvature Kähler metrics, existence results
- On the constant scalar curvature Kähler metrics, general automorphism group
- On the constant scalar curvature Kähler metrics, apriori estimates
- On the existence of constant scalar curvature Kähler metric: a new perspective
- The complex Monge-Ampere equation on compact Kaehler manifolds