Complete intersection Calabi--Yau manifolds with respect to homogeneous vector bundles on Grassmannians
Algebraic Geometry
2019-01-18 v2
Abstract
Based on the method by [K\"uc95], we give a procedure to list up all complete intersection Calabi--Yau manifolds with respect to direct sums of irreducible homogeneous vector bundles on Grassmannians for each dimension. In particular, we give a classification of such Calabi--Yau 3-folds and determine their topological invariants. We also give alternative descriptions for some of them.
Keywords
Cite
@article{arxiv.1607.07821,
title = {Complete intersection Calabi--Yau manifolds with respect to homogeneous vector bundles on Grassmannians},
author = {Daisuke Inoue and Atsushi Ito and Makoto Miura},
journal= {arXiv preprint arXiv:1607.07821},
year = {2019}
}
Comments
25 pages, to appear in Math. Z