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

被引：7
|
作者：
Inoue, Daisuke [1 ]
Ito, Atsushi [2 ]
Miura, Makoto [3 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
[2] Kyoto Univ, Grad Sch Sci, Dept Math, Kyoto 6068502, Japan
[3] Korea Inst Adv Study, 85 Hoegiro, Seoul 130722, South Korea
来源：
MATHEMATISCHE ZEITSCHRIFT | 2019年 / 292卷 / 1-2期
关键词：
VARIETIES;
D O I：
10.1007/s00209-018-2163-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on the method by Kuchle (Math Z 218(4), 563-575, 1995), 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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页码：677 / 703
页数：27
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