CALABI-YAU DOUBLE COVERINGS OF FANO-ENRIQUES THREEFOLDS

被引:1
|
作者
Lee, Nam-Hoon [1 ,2 ]
机构
[1] Hongik Univ, Dept Math Educ, 42-1 Sangsu Dong, Seoul 121791, South Korea
[2] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea
基金
新加坡国家研究基金会;
关键词
Fano-Enriques threefold; Calabi-Yau threefold; Fano threefold; HYPERPLANE SECTIONS; CLASSIFICATION; VARIETIES; 3-FOLDS;
D O I
10.1017/S0013091518000329
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 the Fano-Enriques threefolds with terminal cyclic quotient singularities admit Calabi-Yau threefolds as their double coverings. We calculate the invariants of those Calabi-Yau threefolds when the Picard number is one. It turns out that all of them are new examples.
引用
收藏
页码:107 / 114
页数:8
相关论文
共 50 条
  • [31] Counting BPS States on the Enriques Calabi-Yau
    Albrecht Klemm
    Marcos Mariño
    Communications in Mathematical Physics, 2008, 280 : 27 - 76
  • [32] Calabi-Yau orbifolds and torus coverings
    Hanany, Amihay
    Jejjala, Vishnu
    Ramgoolam, Sanjaye
    Seong, Rak-Kyeong
    JOURNAL OF HIGH ENERGY PHYSICS, 2011, (09):
  • [33] Calabi-Yau orbifolds and torus coverings
    Amihay Hanany
    Vishnu Jejjala
    Sanjaye Ramgoolam
    Rak-Kyeong Seong
    Journal of High Energy Physics, 2011
  • [34] Counting BPS states on the enriques Calabi-Yau
    Klemm, Albrecht
    Marino, Marcos
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 280 (01) : 27 - 76
  • [35] Calabi-Yau compactifications of toric Landau-Ginzburg models for smooth Fano threefolds
    Przyjalkowski, V. V.
    SBORNIK MATHEMATICS, 2017, 208 (07) : 992 - 1013
  • [36] On real Calabi-Yau threefolds twisted by a section
    Matessi, Diego
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2024, 109 (01):
  • [37] Enhanced gauge symmetries and Calabi-Yau threefolds
    Aspinwall, PS
    PHYSICS LETTERS B, 1996, 371 (3-4) : 231 - 237
  • [38] New large volume Calabi-Yau threefolds
    Altman, Ross
    He, Yang-Hui
    Jejjala, Vishnu
    Nelson, Brent D.
    PHYSICAL REVIEW D, 2018, 97 (04)
  • [39] Some finiteness results for Calabi-Yau threefolds
    Szendroi, B
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1999, 60 : 689 - 699
  • [40] Stratified local moduli of Calabi-Yau threefolds
    Namikawa, Y
    TOPOLOGY, 2002, 41 (06) : 1219 - 1237