Parvez Rasul

activity

20222026

most citedIrreducibility of Some Nested Hilbert Schemes

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.AG2026

Joyce's invariant and Virasoro Constraints for Quot schemes on curves

Parvez Rasul

Let $C$ be a smooth projective curve over $C$ and let $E$ be a vector bundle over $C$ . Let $Quot_{r, d} (E)$ denote the Quot scheme which parametrizes quotients of $E$ …

math.AG2024

Irreducibility and singularities of some nested Quot schemes

Parvez Rasul, Ronnie Sebastian

Let $C$ be a smooth projective curve over $C$ of genus $g ⩾ 1$ . Let $E$ be a vector bundle on $C$ of rank $r$ and degree $e$ . Given integers $k_{1}, k_{2}, d_{1}, d_{2}$ such t…

math.AG2024

Irreducibility of Some Quot Schemes on Nodal Curves

Parvez Rasul

Let $C$ be an integral projective nodal curve over $C$ , of arithmetic genus $g ⩾ 2$ . Let $E$ be a vector bundle on $C$ of rank $r$ and degree $e$ . Let $\textrm{Quot…

math.AG2022★ 1 cited

Irreducibility of Some Nested Hilbert Schemes

Chandranandan Gangopadhyay, Parvez Rasul, Ronnie Sebastian

Let $S$ be a smooth projective surface over $C$ . Let $S^{[n_{1}, \dots, n_{k}]}$ denote the nested Hilbert scheme which parametrizes zero-dimensional subschemes $ξ_{n_1} \subset…

math.AG2022

Fundamental Group Schemes of Generalized Kummer Variety

Parvez Rasul

Let $k$ be an algebraically closed field of characteristic $p > 3$ . Let $A$ be an abelian surface over $k$ . Fix an integer $n \geq 1$ such that $p ∤ n$ and let $K^{[n]}$ be the…