On rationality of moduli spaces of vector bundles on real Hirzebruch surfaces

Abstract

Let X be a real form of a Hirzebruch surface. Let M H (r,c 1, c 2) be the moduli space of vector bundles on X. Under some numerical conditions on r, c 1 and c 2, we identify those M H (r,c 1,c 2) that are rational.