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-connectedness of moduli of vector bundles on a stacky curve
Sujoy Chakraborty, Saurav Holme Choudhury, Rakesh Pawar
Let be a projective stacky curve over an infinite field, together with a generating sheaf . We consider the moduli stack of -semistable vec…
Artin-Schreier Root Stacks and lifts of group actions
Sujoy Chakraborty, Souradeep Majumder
Let be a connected affine algebraic group defined over a field of positive characteristic. We prove that the action of on a smooth projective variety can be lifted to its a…
Brauer group of moduli of stable parabolic and -connections and Higgs bundles over a curve
Pavan Adroja, Sujoy Chakraborty
Let be a compact Riemann surface of genus at least . We compute the Brauer groups of the moduli spaces of stable parabolic -connections and stable s…
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 -bundles on a curve , for a generic system of weights along an arbitra…
--connectedness of moduli stack of semi-stable and parabolic semi-stable vector bundles over a curve
Sujoy Chakraborty, Saurav Holme Choudhury
Let be an irreducible smooth projective curve of genus over an algebraically closed field. We prove that the moduli stack of semi-stable vector bundles on of fixe…
Brauer group of moduli stack of parabolic --bundles over a curve
Indranil Biswas, Sujoy Chakraborty, Arijit Dey
Take an irreducible smooth complex projective curve of genus , with . Let be an even positive integer. We prove that the Brauer group of the moduli stack of…