Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On generated coherent systems and a conjecture of D. C. Butler   Let $(E,V)$ be a general generated coherent system of type $(n,d,n+m)$ on a
general non-singular irreducible complex projective curve. A conjecture of D.
C. Butler relates the semistability of $E$ to the semistability of the kernel
of the evaluation map $V\otimes \mathcal{O}_X\to E$. The aim of this paper is
to obtain results on the existence of generated coherent systems and use them
to prove Butler's Conjecture in some cases. The strongest results are obtained
for type $(2,d,4)$, which is the first previously unknown case.

30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph