Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic vanishing in characteristic $p>0$ and the characterization of
  ordinary abelian varieties   We prove a generic vanishing type statement in positive characteristic and
apply it to prove positive characteristic versions of Kawamata's theorems: a
characterization of smooth varieties birational to ordinary abelian varieties
and the surjectivity of the Albanese map when the Frobenius stable Kodaira
dimension is zero.

16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph