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Complete intersection Calabi--Yau manifolds with respect to homogeneous vector bundles on Grassmannians. (arXiv:1607.07821v2 [math.AG] UPDATED)

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.查看全文

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