Moduli spaces of Ulrich bundles on the Fano 3-fold V5

Abstract

We study moduli spaces of Ulrich bundles of rank r≥2 on the Fano 3-fold V5 of Picard number 1, degree 5 and index 2. We prove that the moduli space of stable Ulrich bundles of rank r on V5 can be identified with a smooth (r2+1)-dimensional open subset of the moduli space of stable quiver representations with dimension vector (r,r) of the Kronecker quiver with 2 vertices and 3 arrows.