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Brauer and Picard groups of moduli spaces of parabolic vector bundles on a real curve

We determine the Brauer group and Picard group of the moduli space $U^{' s}_{L,par}$ of stable parabolic vector bundles of rank $r$ with determinant $L$ on a real curve $Y$… Click to show full abstract

We determine the Brauer group and Picard group of the moduli space $U^{' s}_{L,par}$ of stable parabolic vector bundles of rank $r$ with determinant $L$ on a real curve $Y$ of arithmetic genus $g \,\ge\, 2$ with at most nodes as singularities.

Keywords: brauer picard; real curve; parabolic vector; vector bundles

Journal Title: Communications in Algebra
Year Published: 2023

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