Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the characteristic $p$ nonabelian Hodge theory in the
  geometric case   We provide a construction of associating a de Rham subbundle to a Higgs
subbundle in characteristic $p$ in the geometric case. As applications, we
obtain a Higgs semistability result and a $W_2$-unliftable result.

30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ