Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Szeg\"O kernel on an orbifold circle bundle   The analysis of holomorphic sections of high powers $L^N$ of holomorphic
ample line bundles $L\to M$ over compact K\"ahler manifolds has been widely
applied in complex geometry and mathematical physics. The Tian-Yau-Zelditch's
asymptotic expansion of the Szeg\"o kernel of a circle bundle plays an
important role in K\"ahler-Einstein geometry. We generalize the expansion for
compact K\"ahler orbifolds with only finite isolated singularities and analyze
the behavior of the expansion near the singularities.

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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: hep-th