A remark on weighted Bergman kernels on orbifolds
Xianzhe Dai, Kefeng Liu, Xiaonan Ma
TL;DR
This paper discusses how Ross-Thomas' results on weighted Bergman kernels on orbifolds can be derived from previous work, aiding in proving an orbifold version of Donaldson's Theorem.
Contribution
It shows a direct deduction of Ross-Thomas' result from prior work, facilitating the proof of an orbifold Donaldson Theorem.
Findings
Ross-Thomas' weighted Bergman kernel results are derivable from previous results.
The derivation simplifies the proof of an orbifold Donaldson Theorem.
The paper clarifies the connection between Bergman kernels and orbifold geometry.
Abstract
In this note, we explain that Ross-Thomas' result on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result. This result plays an important role in the companion paper to prove an orbifold version of Donaldson Theorem.
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