Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of vector bundles of rank two with fixed determinant and
  sections   Consider the scheme B_{2,L}^k of stable vector bundles of rank two and fixed
determinant L which have at least k sections. Under suitable numerical
conditions and for generic L, we show the existence of a component of the
expected dimension of B_{2,L}^k.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas