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arxiv: 1411.6183 · v2 · pith:MERULKFGnew · submitted 2014-11-23 · 🧮 math.AG

Globally generated vector bundles on complete intersection Calabi-Yau threefolds

classification 🧮 math.AG
keywords bundlesgeneratedgloballyvectorcalabi-yaucompleteintersectionthreefolds
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We investigate the globally generated vector bundles on complete intersection Calabi-Yau threefolds with the first Chern class at most 2. We classify all the globally generated vector bundles of an arbitrary rank on quintic in $\mathbb{P}^4$ and investigate the globally generated vector bundles of rank 2 on complete intersection Calabi-Yau threefolds of codimension 2.

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