# A recollement of vector bundles - Mathematics > Representation Theory

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Abstract: For a weighted projective line, the stable category of its vector bundlesmodulo lines bundles has a natural triangulated structure. We prove that, forany positive integers $p, q, r$ and $r-$ with $r-\leq r$, there is an explicitrecollement of the stable category of vector bundles on a weighted projectiveline of weight type $p, q, r$ relative to the ones on weighted projectivelines of weight types $p, q, r-$ and $p, q, r-r-+1$.

Autor: Xiao-Wu Chen

Fuente: https://arxiv.org/