Complete intersection Calabi--Yau manifolds with respect to homogeneous vector bundles on Grassmannians

2016/07/26 by Inoue, Daisuke, Ito, Atsushi, Miura, Makoto
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.07821

Abstract

Based on the method by [Küc95], 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.

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