A remark on Weighted Bergman kernels on orbifolds

  title={A remark on Weighted Bergman kernels on orbifolds},
  author={Xianzhe Dai and Kefeng Liu and Xiaonan Ma},
In this note, we explain that Ross-Thomas' result (4, Theorem 1.7) on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result (1). This result plays an important role in the companion paper (5) to prove an orbifold version of Donaldson theorem. In two very interesting papers (4, 5), Ross-Thomas describe a notion of ampleness for line bundles on Kahler orbifolds with cyclic quotient singularities which is related to embeddings in weighted projective spaces… CONTINUE READING