Calabi-Yau coverings over some singular varieties and new Calabi-Yau 3-folds with Picard number one

被引：7
|
作者：
Lee, Nam-Hoon [1 ]
机构：
[1] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea
来源：
MANUSCRIPTA MATHEMATICA | 2008年 / 125卷 / 04期
关键词：
D O I：
10.1007/s00229-008-0168-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This note is a report on the observation that some singular varieties admit Calabi-Yau coverings. As an application, we construct 18 new Calabi-Yau 3-folds with Picard number one that have some interesting properties.
引用
收藏
页码：531 / 547
页数：17
相关论文
共 50 条
  • [21] Families of quintic calabi-yau 3-folds with discrete symmetries
    Doran, Charles
    Greene, Brian
    Judes, Simon
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 280 (03) : 675 - 725
  • [22] Gromov-Witten Theory of Calabi-Yau 3-folds
    Liu, Chiu-Chu Melissa
    PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES, 2010, : 497 - 512
  • [23] Construction and deformations of Calabi-Yau 3-folds in codimension 4
    Mohsin, Sumayya
    Nazir, Shaheen
    Qureshi, Muhammad Imran
    JOURNAL OF ALGEBRA, 2024, 657 : 773 - 803
  • [24] Attractor mechanisms of moduli spaces of Calabi-Yau 3-folds
    Fan, Yu-Wei
    Kanazawa, Atsushi
    JOURNAL OF GEOMETRY AND PHYSICS, 2023, 185
  • [25] Open mirror symmetry for pfaffian Calabi-Yau 3-folds
    Shimizu, Masahide
    Suzuki, Hisao
    JOURNAL OF HIGH ENERGY PHYSICS, 2011, (03):
  • [26] Birational boundedness of rationally connected Calabi-Yau 3-folds
    Chen, Weichung
    Cerbo, Gabriele Di
    Han, Jingjun
    Jiang, Chen
    Svaldi, Roberto
    ADVANCES IN MATHEMATICS, 2021, 378
  • [27] Machine learning complete intersection Calabi-Yau 3-folds
    Keita, Kaniba Mady
    PHYSICAL REVIEW D, 2024, 110 (12)
  • [28] Construction of Calabi-Yau 3-folds in P6
    Tonoli, F
    JOURNAL OF ALGEBRAIC GEOMETRY, 2004, 13 (02) : 209 - 232
  • [29] Open mirror symmetry for pfaffian Calabi-Yau 3-folds
    Masahide Shimizu
    Hisao Suzuki
    Journal of High Energy Physics, 2011
  • [30] The diagram method for 3-folds and its application to the Kahler cone and Picard number of Calabi-Yau 3-folds .1.
    Nikulin, VN
    HIGHER DIMENSIONAL COMPLEX VARIETIES, 1996, : 261 - 328
12345