English

Weighted Bergman kernels on orbifolds

Algebraic Geometry 2011-09-19 v3 Complex Variables

Abstract

We describe a notion of ampleness for line bundles on orbifolds with cyclic quotient singularities that is related to embeddings in weighted projective space, and prove a global asymptotic expansion for a weighted Bergman kernel associated to such a line bundle.

Keywords

Cite

@article{arxiv.0907.5215,
  title  = {Weighted Bergman kernels on orbifolds},
  author = {J. Ross and R. P. Thomas},
  journal= {arXiv preprint arXiv:0907.5215},
  year   = {2011}
}

Comments

24 pages, Published verson: corrections made and references added

R2 v1 2026-06-21T13:30:36.207Z