Tilting objects in the stable category of vector bundles on a weighted projective line of type [formula omitted

Abstract

We construct a tilting object for the stable category of vector bundles on a weighted projective line X of type (2,2,2,2;λ). This consists of five rank-two bundles and one rank-three bundle whose endomorphism algebra is the canonical algebra associated with X of type (2,2,2,2).