65 citations · 73 across the 9 of their papers we have counts for
9 papers
On motives of parabolic Higgs bundles and parabolic connections
Sumit Roy
Let be a compact Riemann surface of genus and let be a fixed finite subset. We considered the moduli spaces of parabolic Higgs bundles and of parabolic…
On torsion-freeness of Kähler differential sheaves
Nilkantha Das, Sumit Roy
Let be a normal algebraic variety over an algebraically closed field of characteristic zero. We prove that the Kähler differential sheaf of is torsion-free if and only…
Spectral data for parabolic projective symplectic/orthogonal Higgs bundles
Sumit Roy
Hitchin in [Duke Math. J. 54 (1), 91-114 (1987)] introduced a proper morphism from the moduli space of stable -Higgs bundles ($G=\mathrm{GL}(n,\mathbb{C}),\mathrm{Sp}(2m,\mathbb…
Picard group of moduli of parabolic Higgs bundles
Sumit Roy
Let be a compact Riemann surface of genus and let be the moduli space of semistable parabolic bundles over . Let $\mathcal{M}_{\mathrm…
On birational Torelli theorems
Sumit Roy
Let be a simple simply-connected connected linear algebraic group over . We proved a -birational Torelli theorem for the moduli space of semistable principal …
Torelli theorem for the moduli space of symplectic parabolic Higgs bundles
Sumit Roy
Let and be two compact Riemann surfaces of genus with the set of marked points and . Fix a parabolic line bundle with…