arXiv:0907.5215 Abstract | arXiv Analytics

arXiv:0907.5215 [math.AG]Abstract References Reviews Resources

Weighted Bergman kernels on orbifolds

Published 2009-07-30, updated 2011-09-16Version 3

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.

Comments: 24 pages, Published verson: corrections made and references added

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

Categories: math.AG, math.CV

Subjects: 32A25

Keywords: line bundle, cyclic quotient singularities, global asymptotic expansion, weighted projective space, embeddings

Tags: journal article

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