Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New characterizations of plurisubharmonic functions and positivity of
  direct image sheaves   We give new characterizations of plurisubharmonic functions and Griffiths
positivity of holomorphic vector bundles with singular Finsler metrics. As
applications, we present a different method to prove plurisubharmonic variation
of generalized Bergman kernel metrics and Griffiths positivity of the direct
images of twisted relative canonical bundles associated to holomorphic families
of K\"ahler manifolds.

14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat