A recollement of vector bundles (Q2880379)

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scientific article; zbMATH DE number 6023874
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English
A recollement of vector bundles
scientific article; zbMATH DE number 6023874

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    A recollement of vector bundles (English)
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    13 April 2012
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    vector bundle
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    stable category
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    recollement
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    weighted projective line
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    For a weighted projective line, the stable category of its vector bundles modulo line bundles has a natural triangulated structure. In this paper the author proved that for any positive integers \(p, q, r\) and \(r'\) with \(r'\leq r\), there is an explicit recollement of the stable category of vector bundles on a weighted projective line of weight type \((p,q,r)\) relative to the ones on weighted projective lines of weight types \((p,q,r')\) and \((p,q,r-r'+1)\).
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