Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Szego kernel, regular quantizations and spherical CR-structures   We compute the Szego kernel of the unit circle bundle of a negative line
bundle dual to a regular quantum line bundle over a compact Kaehler manifold.
As a corollary we provide an infinite family of smoothly bounded strictly
pseudoconvex domains on complex manifolds (disk bundles over homogeneous Hodge
manifolds) for which the log-terms in the Fefferman expansion of the Szego
kernel vanish and which are not locally CR-equivalent to the sphere. We also
give a proof of the fact that, for homogeneous Hodge manifolds, the existence
of a locally spherical CR-structure on the unit circle bundle alone implies
that the manifold is biholomorphic to a projective space. Our results
generalize those obtained by M. Englis and G. Zhang for Hermitian symmetric
spaces of compact type.

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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: cond-mat