S. Chakraborty

collaborators

7 papers

math.AG2026

Artin-Schreier Root Stacks and lifts of group actions

Sujoy Chakraborty, Souradeep Majumder

Let $G$ be a connected affine algebraic group defined over a field of positive characteristic. We prove that the action of $G$ on a smooth projective variety can be lifted to its a…

math.AG2026

$A^{1}$ --connectedness of moduli stack of semi-stable and parabolic semi-stable vector bundles over a curve

Sujoy Chakraborty, Saurav Holme Choudhury

Let $C$ be an irreducible smooth projective curve of genus $g \geq 2$ over an algebraically closed field. We prove that the moduli stack of semi-stable vector bundles on $C$ of fixe…

math.AG2026

Brauer group of moduli of stable parabolic $SL (r, C)$ and $PGL (r, C)$ -connections and Higgs bundles over a curve

Pavan Adroja, Sujoy Chakraborty

Let $X$ be a compact Riemann surface of genus at least $3$ . We compute the Brauer groups of the moduli spaces of stable parabolic $SL (r, C)$ -connections and stable s…

math.AG2026

Brauer group of moduli stacks of parabolic principal bundles over a curve

Indranil Biswas, Sujoy Chakraborty

We prove that the Brauer group of the moduli stack of parabolic stable principal $PGL (r, C)$ -bundles on a curve $X$ , for a generic system of weights along an arbitra…

math.AG2026

Brauer group of moduli of parabolic symplectic bundles

Indranil Biswas, Sujoy Chakraborty, Arijit Dey

Let $X$ be a smooth connected complex projective curve of genus $g$ , with $g \geq 3$ . Fix an integer $r \geq 2$ , a finite subset $D \subset X$ , and a line bundle $L$ on $X$ .…

math.AG2025

Brauer group of moduli stack of parabolic $PSp (r, C)$ --bundles over a curve

Indranil Biswas, Sujoy Chakraborty, Arijit Dey

Take an irreducible smooth complex projective curve $X$ of genus $g$ , with $g \geq 3$ . Let $r$ be an even positive integer. We prove that the Brauer group of the moduli stack of…

Artin-Schreier Root Stacks and lifts of group actions

A1--connectedness of moduli stack of semi-stable and parabolic semi-stable vector bundles over a curve

Brauer group of moduli of stable parabolic SL(r,C) and PGL(r,C)-connections and Higgs bundles over a curve

Brauer group of moduli stacks of parabolic principal bundles over a curve

Brauer group of moduli of parabolic symplectic bundles

Brauer group of moduli stack of parabolic PSp(r,C)--bundles over a curve

$A^{1}$ --connectedness of moduli stack of semi-stable and parabolic semi-stable vector bundles over a curve

Brauer group of moduli of stable parabolic $SL (r, C)$ and $PGL (r, C)$ -connections and Higgs bundles over a curve

Brauer group of moduli stack of parabolic $PSp (r, C)$ --bundles over a curve