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arXiv · 1303.1323

Tilting objects on tubular weighted projective lines: a cluster tilting approach

Jianmin Chen·Yanan Lin·Pin Liu·Shiquan Ruan
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Abstract

Using cluster tilting theory, we investigate 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 cluster tilting mutation. Moreover, the cluster tilting approach also provides a new method to classify the endomorphism algebras of tilting objects in the category of coherent sheaves and the associated bounded derived category.

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BibTeXRIS

Jianmin Chen, Yanan Lin, Pin Liu, Shiquan Ruan. 2019-04-04. Tilting objects on tubular weighted projective lines: a cluster tilting approach. https://arxiv.org/abs/1303.1323

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