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We construct a tilting object for the stable category of vector bundles on aweighted projective line X of type (2,2,2,2;\lambda), consisting of five ranktwo bundles and one rank three bundle, whose endomorphism algebra is acanonical algebra associated with X of type (2,2,2,2).

Tilting objects in the stable category of vector bundles on the weighted projective line of type (2,2,2,2;\lambda)