Ronnie Sebastian

activity

20122025

most citedSmash nilpotent cycles on products of curves

1 citations · 1 across the 3 of their papers we have counts for

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11 papers · 1 filter

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…

math.AG2024

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.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.AG2021

Seshadri constants on some Quot schemes

Chandranandan Gangopadhyay, Krishna Hanumanthu, Ronnie Sebastian

Let $E$ be a vector bundle of rank $n$ on $P^{1}$ . Fix a positive integer $d$ . Let $Q (E, d)$ denote the Quot scheme of torsion quotients of $E$ of degree $d$ and le…

math.AG2020

Nef cones of some Quot schemes on a smooth projective curve

Chandranandan Gangopadhyay, Ronnie Sebastian

Let $C$ be a smooth projective curve over $C$ . Let $n, d \geq 1$ . Let $Q$ be the Quot scheme parameterizing torsion quotients of the vector bundle $O_{C}^{n}$ o…