Subhasish Subhasish

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20192023

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5 papers · 1 filter

math.AG2023

On torsion-freeness of Kähler differential sheaves

Nilkantha Das, Sumit Roy

Let $X$ be a normal algebraic variety over an algebraically closed field $k$ of characteristic zero. We prove that the Kähler differential sheaf of $X$ is torsion-free if and only…

math.AG2022

Picard group of moduli of parabolic Higgs bundles

Sumit Roy

Let $X$ be a compact Riemann surface of genus $g \geq 3$ and let $M_{par}$ be the moduli space of semistable parabolic bundles over $X$ . Let $\mathcal{M}_{\mathrm…

math.AG2022

On birational Torelli theorems

Sumit Roy

Let $G$ be a simple simply-connected connected linear algebraic group over $C$ . We proved a $2$ -birational Torelli theorem for the moduli space of semistable principal $G$ …

math.AG2021

Torelli theorem for the moduli space of symplectic parabolic Higgs bundles

Sumit Roy

Let $(X, D)$ and $(X^{'}, D^{'})$ be two compact Riemann surfaces of genus $g \geq 4$ with the set of marked points $D \subset X$ and $D^{'} \subset X^{'}$ . Fix a parabolic line bundle $L$ with…

math.AG2020

Hitchin fibration on moduli of symplectic and orthogonal parabolic Higgs bundles

Sumit Roy

Let $X$ be a compact Riemann surface of genus $g \geq 2$ , and let $D \subset X$ be a fixed finite subset. Let $M (r, d, α)$ denote the moduli space of stable parabolic $G$ -b…