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Weighted Bergman kernels on orbifolds

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arxiv 0907.5215 v3 pith:2UJWZ5MW submitted 2009-07-30 math.AG math.CV

J. Ross , R. P. Thomas This is my paper · ORCID
classification math.AGmath.CV
keywords weightedbergmanlineorbifoldsamplenessassociatedasymptoticbundle
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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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