摘要
Using the cluster tilting theory,we investigate the tilting objects in the stable category of vector bundles on a weighted projective line of weight type(2,2,2,2).More precisely,a tilting object consisting of rank-two bundles is constructed via the cluster tilting mutation.Moreover,the cluster tilting approach also provides a new method to classify the endomorphism algebras of the tilting objects in the category of coherent sheaves and the associated bounded derived category.
基金
supported by National Natural Science Foundation of China(Grant Nos.11571286,11871404 and 11801473)
the Fundamental Research Funds for the Central Universities of China(Grant Nos.20720180002 and 20720180006)。
