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 V 5 of Picard number 1, degree 5 and index 2. We prove that the moduli space of stable Ulrich bundles of rank r on V 5 can be identified with a smooth ( r 2 + 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.