Automorphisms of the generalized quot schemes
  Given a compact connected Riemann surface $X$ of genus $g \geq 2$, and integers $r\geq 2$, $d_p > 0$ and $d_z > 0$, in \cite{BDHW}, a generalized quot scheme ${\mathcal Q}_X(r,d_p,d_z)$ was introduced. Our aim here is to compute the holomorphic automorphism group of ${\mathcal Q}_X(r,d_p,d_z)$. It is shown that the connected component of $\text{Aut}( {\mathcal Q}_X(r,d_p,d_z))$ containing the identity automorphism is $\text{PGL}(r,{\mathbb C})$. As an application of it, we prove that if the generalized quot schemes of two Riemann surfaces are holomorphically isomorphic, then the two Riemann surfaces themselves are isomorphic. 
Indranil Biswas and Sukhendu Mehrotra
math.AG math-ph math.MP