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math.AG2022
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…
math.AG2022
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…
math.AG2022
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 …