Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nef cones of some Quot schemes on a smooth projective curve   Let $C$ be a smooth projective curve over $\mathbb C$. Let $n,d\geq 1$. Let
$\mathcal Q$ be the Quot scheme parameterizing torsion quotients of the vector
bundle $\mathcal O^n_C$ of degree $d$. In this article we study the nef cone of
$\mathcal Q$. We give a complete description of the nef cone in the case of
elliptic curves. We compute it in the case when $d=2$ and $C$ very general, in
terms of the nef cone of the second symmetric product of $C$. In the case when
$n\geq d$ and $C$ very general, we give upper and lower bounds for the Nef
cone. In general, we give a necessary and sufficient criterion for a divisor on
$\mathcal Q$ to be nef.

15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin