Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of pseudo-effective vector bundles by singular
  Hermitian metrics   In this paper, we give complex geometric descriptions of the notions of
algebraic geometric positivity of vector bundles and torsion-free coherent
sheaves, such as nef, big, pseudo-effective and weakly positive, by using
singular Hermitian metrics. As an applications, we obtain a generalization of
Mori's result. We also give a characterization of the augmented base locus by
using singular Hermitian metrics on vector bundles and the Lelong numbers.

25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
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The categories of this paper are: stat
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess