Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relation between the dimensions of the ring generated by a vector bundle
  of degree zero on an elliptic curve and a torsor trivializing this bundle   M. Nori proved that on a projective smooth variety, a bundle is finite, (that
is the ring it generates has dimension 0), if and only if it trivializes on a
finite cover. In this note, we consider bundles of degree 0 on an elliptic
curve. We prove that the dimension of the ring generated by such a bundle is
the same as the dimension of a torsor trivializing the bundle (and is 1).

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat