Unramified Brauer group of the moduli spaces of $PG{L}_r(\mathbb{C})$-bundles over curves

Abstract

Let $X$ be an irreducible smooth complex projective curve of genus at least two. Let $N$ be a connected component of the moduli space of semistable principal ${\mathrm{PGL}}_r(\mathbb{C})$- bundles over $X$; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of $N$ is trivial.

The main theorem in the previous version was incorrect and has been corrected

References in corpus (1)

• Chen--Ruan cohomology of some moduli spaces