Advances in Theoretical and Mathematical Physics

Volume 20 (2016)

Number 5

Globally generated vector bundles on complete intersection Calabi–Yau threefolds

Pages: 1125 – 1166

DOI: http://dx.doi.org/10.4310/ATMP.2016.v20.n5.a6

Authors

Edoardo Ballico (Università di Trento, Povo (TN), Italy)

Sukmoon Huh (Sungkyunkwan University, Suwon, Korea)

Francesco Malaspina (Politecnico di Torino, Italy)

Abstract

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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Published 17 January 2017