Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Special systems through double points on an algebraic surface   Let S be a smooth algebraic surface satisfying the following property:
H^i(\oc_S(C))=0 (i=1,2) for any irreducible and reduced curve C of S. The aim
of this paper is to provide a characterization of special linear systems on S
which are singular along a set of double points in general position. As an
application, the dimension of such systems is evaluated in case S is an
Abelian, an Enriques, a K3 or an anticanonical rational surface.

15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg