Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From H\"ormander's $L^2$-estimates to partial positivity   In this article, using a twisted version of H\"ormander's $L^2$-estimate, we
give new characterizations of notions of partial positivity, which are uniform
$q$-positivity and RC-positivity. We also discuss the definition of uniform
$q$-positivity for singular Hermitian metrics.

22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat