Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On linear systems and a conjecture of D. C. Butler   Let $C$ be a smooth irreducible projective curve of genus $g$ and $L$ a line
bundle of degree $d$ generated by a linear subspace $V$ of $H^0(L)$ of
dimension $n+1$. We prove a conjecture of D. C. Butler on the semistability of
the kernel of the evaluation map $V\otimes{\mathcal O}_C\to L$ and obtain new
results on the stability of this kernel. The natural context for this problem
is the theory of coherent systems on curves and our techniques involve wall
crossing formulae in this theory.

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The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc