Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-negative divisors and the Grauert metric   Grauert showed that it is possible to construct complete K\"{a}hler metrics
on the complement of complex analytic sets in a domain of holomorphy. In this
note, we study the holomorphic sectional curvatures of such metrics on the
complement of a principal divisor in $\mathbb{C}^n$, $n \ge 1$. In addition, we
also study how this metric and its holomorphic sectional curvature behaves when
the corresponding principal divisors vary continuously.

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The categories of this paper are: cond-mat
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
1
The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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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: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th