Chandranandan Gangopadhyay

activity

20182026

most citedIrreducibility of Some Nested Hilbert Schemes

1 citations · 1 across the 10 of their papers we have counts for

collaborators

15 papers

math.AG2026

Equivariant principal bundles over toric Deligne--Mumford stacks

Ramandeep Singh Arora, Chandranandan Gangopadhyay, Mainak Poddar

Let $X (Σ)$ be the toric Deligne--Mumford stack with stacky torus $T$ associated to the stacky fan $Σ = (N, Σ, β)$ . A toric principal $H$ -bu…

math.AG2026

Birational Geometry of Quot Schemes on smooth projective curves via Stable Pairs

Chandranandan Gangopadhyay, Atsushi Ito

Let $C$ be a smooth projective curve of genus $g \geq 2$ over $C$ , and let $E^{0}$ be a vector bundle on $C$ . We investigate the birational geometry of the Quot scheme ${\rm…

math.AG2026

Direct image and pullback of Parabolic vector bundles

Indranil Biswas, Chandranandan Gangopadhyay

Niels Borne established a natural correspondence between the parabolic vector bundles on curves and vector bundles on root stacks. The notions of direct image of parabolic vector b…

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

Equivariant vector bundles on complexity-one T-varieties and Bruhat-Tits buildings

Jyoti Dasgupta, Chandranandan Gangopadhyay, Kiumars Kaveh +1

We give a combinatorial classification of torus equivariant vector bundles on a (normal) projective T-variety of complexity-one. This extends the classification of equivariant line…

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.AG2022

Picard Groups of Some Quot Schemes

Chandranandan Gangopadhyay, Ronnie Sebastian

Let $C$ be a smooth projective curve over the field of complex numbers $C$ of genus $g (C) > 0$ . Let $E$ be a locally free sheaf on $C$ of rank $r$ and degree $e$ . Let $\math…

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

Infinitesimal deformations of some Quot schemes

Indranil Biswas, Chandranandan Gangopadhyay, Ronnie Sebastian

Let $E$ be a vector bundle on a smooth complex projective curve $C$ of genus at least two. Let $Q (E, d)$ be the Quot scheme parameterizing the torsion quotients of $E$ of…

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.AG2020

Tautological algebra of the moduli stack of semistable bundles of rank 2 on a general curve

Chandranandan Gangopadhyay, Jaya NN Iyer, Arijit Mukherjee

Our aim is to determine the tautological algebra generated by the cohomology classes of the Brill-Noether loci in the rational cohomology of the moduli stack $U_{C} (n, d)$ 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.AG2018

Automorphisms of relative Quot Schemes

Chandranandan Gangopadhyay

Let $k$ be an algebraically closed field of characteristic zero. Let $S$ be a smooth projective variety over $k$ and let $p_{S} : X \to S$ be a family of smooth projective curve…