Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moduli spaces of coherent systems of small slope on algebraic curves   Let $C$ be an algebraic curve of genus $g\ge2$. A coherent system on $C$
consists of a pair $(E,V)$, where $E$ is an algebraic vector bundle over $C$ of
rank $n$ and degree $d$ and $V$ is a subspace of dimension $k$ of the space of
sections of $E$. The stability of the coherent system depends on a parameter
$\alpha$. We study the geometry of the moduli space of coherent systems for
$0<d\le2n$. We show that these spaces are irreducible whenever they are
non-empty and obtain necessary and sufficient conditions for non-emptiness.

9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th