descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 May 2011Embargo end date: 01 Jan 2009Publisher:International Press of BostonJournal:Journal of Differential Geometry, volume 88 (issn: 0022-040X,

Authors: Ross, Julius; Thomas, Richard;

doi: 10.4310/jdg/1317758870 , 10.48550/arxiv.0907.5215

arXiv: 0907.5215

Weighted Bergman Kernels on Orbifolds

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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

Related Organizations

University of Cambridge
United Kingdom

Keywords

Mathematics - Algebraic Geometry, Mathematics - Complex Variables, FOS: Mathematics, 32A25, Complex Variables (math.CV), Algebraic Geometry (math.AG)

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