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

Abstract

We determine the Brauer group and Picard group of the moduli space $U_{L,par}^{{}^{\prime }s}$ 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.

arXiv commentFinal version; Communications in Algebra (to appear)