Ronnie Sebastian

activity

20122024

most citedSmash nilpotent cycles on products of curves

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

collaborators

8 papers

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.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…

math.AG2019

Fundamental Group Schemes of some Quot Schemes on a smooth projective curve

Chandranandan Gangopadhyay, Ronnie Sebastian

Let $k$ be an algebraically closed field. Let $C$ be an irreducible smooth projective curve over $k$ . Let $E$ be a locally free sheaf on $C$ of rank $\geq 2$ . Fix an integer $d \ge…

math.AG2019

Fundamental Group Schemes of $n$ -fold Symmetric Product of a Smooth Projective Curve

Arjun Paul, Ronnie Sebastian

Let $k$ be an algebraically closed field of characteristic $p > 0$ . Let $X$ be an irreducible smooth projective curve of genus $g$ over $k$ . Fix an integer $n \geq 2$ , and let $S^n…

math.AG2019

Fundamental Group Schemes of Hilbert Scheme of $n$ Points on a Smooth Projective Surface

Arjun Paul, Ronnie Sebastian

Let $k$ be an algebraically closed field of characteristic $p > 3$ . Let $X$ be an irreducible smooth projective surface over $k$ . Fix an integer $n \geq 1$ and let ${\mathcal{H}{\i…

Infinitesimal deformations of some quot schemes, II

Seshadri constants on some Quot schemes

Nef cones of some Quot schemes on a smooth projective curve

Fundamental Group Schemes of some Quot Schemes on a smooth projective curve

Fundamental Group Schemes of n-fold Symmetric Product of a Smooth Projective Curve

Fundamental Group Schemes of Hilbert Scheme of n Points on a Smooth Projective Surface

Fundamental Group Schemes of $n$ -fold Symmetric Product of a Smooth Projective Curve

Fundamental Group Schemes of Hilbert Scheme of $n$ Points on a Smooth Projective Surface