Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the BMY inequality on surfaces   In this paper, we are concerned with the relation between the ordinarity of
surfaces of general type and the failure of the BMY inequality in positive
characteristic. We consider semistable fibrations $\pi:S \longrightarrow C$
where $S$ is a smooth projective surface and $C$ is a smooth projective curve.
Using the exact sequence relating the locally exact differential forms on $S$,
$C$, and $S/C$, we prove an inequality relating $c_1^2$ and $c_2$ for ordinary
surfaces which admit generically ordinary semistable fibrations. This
inequality differs from the BMY inequality by a correcting term which vanishes
if the fibration is ordinary.

13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th