Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bergman kernel asymptotics for singular metrics on punctured Riemann
  surfaces   We consider singular metrics on a punctured Riemann surface and on a line
bundle and study the behavior of the Bergman kernel in the neighbourhood of the
punctures. The results have an interpretation in terms of the asymptotic
profile of the density of states function of the lowest Landau level in quantum
Hall effect.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph