Brauer group of moduli of principal bundles over a curve

Indranil Biswas, Yogish I. Holla

Published 2010-12-21, updated 2011-06-01Version 2

Let $G$ be a semisimple linear algebraic group over the field $\mathbb C$, and let $C$ be an irreducible smooth complex projective curve of genus at least three. We compute the Brauer group of the smooth locus of the moduli space of semistable principal $G$--bundles over $C$. We also compute the Brauer group of the moduli stack of principal $G$--bundles over $C$.