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

Jianmin Chen; Shiquan Ruan; Yanan Lin

arxiv: 1302.0504 · v1 · pith:EXOJAN7Qnew · submitted 2013-02-03 · 🧮 math.RT

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

Jianmin Chen , Yanan Lin , Shiquan Ruan This is my paper

classification 🧮 math.RT

keywords bundlestypealgebracategorylambdalineprojectiverank

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

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

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