Birational geometry of the moduli space of rank 2 parabolic vector bundles on a rational curve (Q2796765)

Running Mori's program for a moduli space, roughly speaking, means to find other birational models of the moduli space and give them modular interpretations. In this paper the authors study Mori's program for the moduli space of rank \(2\) semistable parabolic vector bundles on a rational curve. In particular, the authors describe the effective cone of the moduli space and show that birational models out of Mori's program are also moduli spaces of parabolic vector bundles with certain parabolic weights.