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arXiv · 1303.0867

Rank 2 ACM bundles on complete intersection Calabi-Yau threefolds

Matej Filip
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Abstract

The aim of this paper is to classify indecomposable rank 2 arithmetically Cohen-Macaulay (ACM) bundles on compete intersection Calabi-Yau (CICY) threefolds and prove the existence of some of them. New geometric properties of the curves corresponding to rank 2 ACM bundles (by Serre correspondence) are obtained. These follow from minimal free resolutions of curves in suitably chosen fourfolds (containing Calabi-Yau threefolds as hypersurfaces). Also the existence of an indecomposable vector bundle of higher rank on a CICY threefold of type (2,4) is proved.

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Matej Filip. 2013-03-04. Rank 2 ACM bundles on complete intersection Calabi-Yau threefolds. https://arxiv.org/abs/1303.0867

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