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
  • [21] Abelian Calabi-Yau threefolds: Neron models and rational points
    Bogomolov, Fedor
    Halle, Lars Halvard
    Pazuki, Fabien
    Tanimoto, Sho
    MATHEMATICAL RESEARCH LETTERS, 2018, 25 (02) : 367 - 392
  • [22] d-Semistable Calabi-Yau threefolds of type III
    Lee, Nam-Hoon
    MANUSCRIPTA MATHEMATICA, 2020, 161 (1-2) : 257 - 281
  • [23] Boundedness of log Calabi-Yau pairs of Fano type
    Hacon, Christopher D.
    Xi, Chenyang
    MATHEMATICAL RESEARCH LETTERS, 2015, 22 (06) : 1699 - 1716
  • [24] Double spinor Calabi-Yau varieties
    Manivel, Laurent
    EPIJOURNAL DE GEOMETRIE ALGEBRIQUE, 2019, 3
  • [25] ARITHMETICALLY GORENSTEIN CALABI-YAU THREEFOLDS IN P7
    Coughlan, Stephen
    Golebiowski, Lukasz
    Kapustka, Grzegorz
    Kapustka, Michal
    ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES, 2016, 23 : 52 - 68
  • [26] On a conjecture of Oguiso about rational curves on Calabi-Yau threefolds
    Diverio, Simone
    Ferretti, Andrea
    COMMENTARII MATHEMATICI HELVETICI, 2014, 89 (01) : 157 - 172
  • [27] Log Hodge Theoretic Formulation of Mirror Symmetry for Calabi-Yau Threefolds
    Usui, Sampei
    VIETNAM JOURNAL OF MATHEMATICS, 2014, 42 (03) : 345 - 363
  • [28] Rank 2 ACM bundles on complete intersection Calabi-Yau threefolds
    Filip, Matej
    GEOMETRIAE DEDICATA, 2014, 173 (01) : 331 - 346
  • [29] On K3 fibred Calabi-Yau threefolds in weighted scrolls
    Mboya, Geoffrey
    Szendroi, Balazs
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (02) : 621 - 635
  • [30] On Enriques-Fano threefolds and a conjecture of Castelnuovo
    Martello, Vincenzo
    MANUSCRIPTA MATHEMATICA, 2023, 172 (1-2) : 443 - 466