Parvez Rasul

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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.AG2026

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…