Rank 2 ACM bundles on complete intersection Calabi-Yau threefolds
Algebraic Geometry
2013-03-06 v1
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.
Keywords
Cite
@article{arxiv.1303.0867,
title = {Rank 2 ACM bundles on complete intersection Calabi-Yau threefolds},
author = {Matej Filip},
journal= {arXiv preprint arXiv:1303.0867},
year = {2013}
}