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.

引用

页码：677 / 703

页数：27

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