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arxiv: 0907.5215 · v3 · pith:2UJWZ5MWnew · submitted 2009-07-30 · 🧮 math.AG · math.CV

Weighted Bergman kernels on orbifolds

classification 🧮 math.AG math.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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