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On Higher Rank Globally Generated Vector Bundles over a Smooth Quadric Threefold
Published online by Cambridge University Press: 10 June 2015
Abstract
We give a complete classification of globally generated vector bundles of rank 3 on a smooth quadric threefold with c1 ≤ 2 and extend the result to arbitrary higher rank case. We also investigate the existence of globally generated indecomposable vector bundles, and give the sufficient and necessary conditions on numeric data of vector bundles for indecomposability.
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- Copyright © Edinburgh Mathematical Society 2016