Ronnie Sebastian

activity

20242026

collaborators

4 papers

math.AG2026

Nef and Effective cones of some Quot Schemes

Chandranandan Gangopadhyay, Ronnie Sebastian

Let $C$ be a smooth projective curve over $C$ of genus $g (C) ⩾ 3$ (respectively, $g (C) = 2$ ). Fix integers $r, k$ such that $2 ⩽ k ⩽ r - 2$ , (respectively,…

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.AG2025

Some recent results on the punctual Quot schemes

Indranil Biswas, Chandranandan Gangopadhyay, Ronnie Sebastian

Let $C$ be a smooth projective curve defined over the field of complex numbers. Let $E$ be a vector bundle on $C$ , and fix an integer $d ⩾ 1$ . Let $\mc Q:={\rm Quot}(E,d)$ b…

math.AG2024

Infinitesimal deformations of some quot schemes, II

Indranil Biswas, Chandranandan Gangopadhyay, Ronnie Sebastian

Let $C$ be an irreducible smooth complex projective curve of genus $g$ , with $g_{C} ⩾ 2$ . Let $E$ be a vector bundle on $C$ of rank $r$ , with $r ⩾ 2$ . Let $\mc Q:=\mc…