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
  • [41] Moduli of Polarized Calabi-Yau Pairs
    Kollar, Janos
    Xu, Chen Yang
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2020, 36 (06) : 631 - 637
  • [42] Deformations of elliptic Calabi-Yau manifolds
    Kollar, J.
    RECENT ADVANCES IN ALGEBRAIC GEOMETRY, 2015, 417 : 254 - 290
  • [43] A Calabi-Yau threefold with 192 automorphisms
    Kocel-Cynk, Beata
    Annales Polonici Mathematici, 2016, 118 (2-3) : 173 - 180
  • [44] ON THE EXTENDABILITY OF PROJECTIVE SURFACES AND A GENUS BOUND FOR ENRIQUES-FANO THREEFOLDS
    Knutsen, Andreas Leopold
    Lopez, Angelo Felice
    Munoz, Roberto
    JOURNAL OF DIFFERENTIAL GEOMETRY, 2011, 88 (03) : 483 - 518
  • [45] Calabi-Yau Volumes and Reflexive Polytopes
    He, Yang-Hui
    Seong, Rak-Kyeong
    Yau, Shing-Tung
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 361 (01) : 155 - 204
  • [46] The dual complex of Calabi-Yau pairs
    Kollar, Janos
    Xu, Chenyang
    INVENTIONES MATHEMATICAE, 2016, 205 (03) : 527 - 557
  • [47] Modularity of a certain Calabi-Yau threefold
    Ahlgren, S
    Ono, K
    MONATSHEFTE FUR MATHEMATIK, 2000, 129 (03): : 177 - 190
  • [48] A cone conjecture for log Calabi-Yau surfaces
    Li, Jennifer
    FORUM OF MATHEMATICS SIGMA, 2025, 13
  • [49] Families of Calabi-Yau Manifolds and Canonical Singularities
    Tosatti, Valentino
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (20) : 10586 - 10594
  • [50] Mirror symmetry and elliptic Calabi-Yau manifolds
    Huang, Yu-Chien
    Taylor, Washington
    JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (04)