Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the topological index of irregular surfaces   We study the topological index of some irregular surfaces that we call
generalized Lagrangian. We show that under certain hypotheses on the base locus
of the Lagrangian system the topological index is non-negative. For the minimal
surfaces of general type with q=4 and p_g=5 we prove the same statement without
any hypotheses. Some similar results for higher dimensional varieties are
given.

31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph