Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An ampleness criterion for rank 2 vector bundles on surfaces   We observe that the proof of the Bogomolov stable restriction theorem can be
adapted to give an ampleness criterion for globally generated rank 2 vector
bundles on certain surfaces. This applies to the Lazarsfeld-Mukai bundles, to
congruences of lines in P^3, and possibly to the construction of surfaces with
ample cotangent bundle (help welcome!).

18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con