Globally generated vector bundles on complete intersection Calabi-Yau threefolds

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.

35 pages; Comments welcome; minor corrections