Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphisms of relative Quot Schemes   Let $k$ be an algebraically closed field of characteristic zero. Let $S$ be a
smooth projective variety over $k$ and let $p_S:X\rightarrow S$ be a family of
smooth projective curves over $S$. Let $E$ be a vector bundle over $X$. For
$s\in S$ let $X_s$ be the fibre of $p_S$ over $s$ and let $E_s$ be the
restriction of $E$ to $X_s$. Fix $d\geq 1$. Let $\mathcal Q(E,d)\to S$ be the
relative Quot scheme parameterizing torsion quotients of $E_s$ over $X_s$ of
degree $d$ for all $s\in S$. In this article we compute the identity component
of relative automorphism group scheme which parameterizes automorphisms of
$\mathcal Q(E,d)$ over $S$.

36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph