Weighted Bergman kernels on orbifolds

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.

24 pages, Published verson: corrections made and references added

References in corpus (2)

• Weighted projective embeddings, stability of orbifolds and constant scalar curvature Kähler metrics
• The SzegÖ kernel on an orbifold circle bundle