Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sur la dimension de l'ensemble des points base du fibre determinant sur
  l'espace des modules des fibres vectoriels semi stables sur une courbe   Resume Soit SU_C(r) l'espace des modules des fibr\'es vectoriels semi-stables
de d\'eterminant trivial sur une courbe lisse $C$ de genre $g \geq 2$ sur
$\mathbb{C}$. On \'etudie dans cet article, un exemple de fibr\'e introduit par
Raynaud dans ~\cite{R}, ne poss\'edant pas de diviseur th\^eta. On construit
ensuite des extensions stables de ce fibr\'e ce qui conduit \`a une majoration
de la codimension du lieu de base du fibr\'e d\'eterminant sur
$\mathcal{SU}_{C}(r)$.
  Abstract Let $\mathcal{SU}_{C}(r)$ be the moduli space of semi stable bundles
with trivial determinant on a smooth curve $C$ of genus $g\geq 2$ on
$\mathbb{C}$. In this article, we are studiying a vector bundle introduced by
Raynaud in ~\cite{R}, with no theta divisor. Then we build some stable
extension of this bundle wich gives us an upper bound of the codimension of the
base locus of the determinant bundle on $\mathcal{SU}_{C}(r)$.

19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph