Moduli Space of Parabolic Bundles on P 1 and Frobenius Splitting

Let [Formula: see text] be a finite set of [Formula: see text] over an algebraically closed field [Formula: see text] of [Formula: see text], and [Formula: see text] be the moduli space of semistable parabolic bundles of rank two and degree [Formula: see text] on [Formula: see text] with parabolic structures determined by weights [Formula: see text]. We prove that [Formula: see text] is F-split when [Formula: see text], which partly answers a conjecture of Mehta and Ramadas for the genus zero case.