Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A cup product lemma for continuous plurisubharmonic functions   A version of Gromov's cup product lemma in which one factor is the (1,0)-part
of the differential of a continuous plurisubharmonic function is obtained. As
an application, it is shown that a connected noncompact complete Kaehler
manifold that has exactly one end and admits a continuous plurisubharmonic
function that is strictly plurisubharmonic along some germ of a 2-dimensional
complex analytic set at some point has the Bochner-Hartogs property; that is,
the first compactly supported cohomology with values in the structure sheaf
vanishes.

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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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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: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int