Weighted Bergman kernels on orbifolds

Details Weighted Bergman kernels on orbifolds Weighted Bergman kernels on orbifolds

2009-07-30

arxiv.org/abs/0907.5215v3

Journal of Differential Geometry (88) 2011 p.87-108

Mathematics

Algebraic Geometry

24 pages, Published verson: corrections made and references added

Scientific paper

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.

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