Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the asymptotic behavior of Bergman kernels for positive line bundles   Let L be a positive line bundle on a projective complex manifold. We study
the asymptotic behavior of Bergman kernels associated with the tensor powers
L^p of L as p tends to infinity. The emphasis is the dependence of the uniform
estimates on the positivity of the Chern form of the metric on L. This
situation appears naturally when we approximate a semi-positive singular metric
by smooth positively curved metrics.

30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat