The toric geometry of some Niemeier lattices

被引:0
|
作者
M. Brightwell
机构
关键词
Toric Variety; Toric Geometry; Golay Code; Niemeier Lattice; Singular Toric Variety;
D O I
10.1007/s00022-004-1631-8
中图分类号
学科分类号
摘要
The paper presents examples of complete singular toric varieties associated to the Niemeier lattices. The singularities and automorphisms of these varieties are seen to be closely related to the Golay codes.
引用
收藏
页码:15 / 20
页数:5
相关论文
共 50 条
  • [1] The characteristic masses of Niemeier lattices
    Chenevier, Gaetan
    [J]. JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2020, 32 (02): : 545 - 583
  • [2] Umbral moonshine and the Niemeier lattices
    Miranda CN Cheng
    John FR Duncan
    Jeffrey A Harvey
    [J]. Research in the Mathematical Sciences, 1
  • [3] Umbral moonshine and the Niemeier lattices
    Cheng, Miranda C. N.
    Duncan, John F. R.
    Harvey, Jeffrey A.
    [J]. RESEARCH IN THE MATHEMATICAL SCIENCES, 2014, 1 (01)
  • [4] Covering aspects of the Niemeier lattices
    Alahmadi, Adel
    Deza, Michel
    Sikiric, Mathieu Dutour
    Sole, Patrick
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2019, 80 : 102 - 106
  • [5] Notes on theta series for Niemeier lattices
    Shoyu Nagaoka
    Sho Takemori
    [J]. The Ramanujan Journal, 2017, 42 : 385 - 400
  • [6] SEQUENTIAL CONSTRUCTION OF NIEMEIER LATTICES AND THEIR UNIQUENESS
    HARADA, K
    LANG, ML
    MIYAMOTO, M
    [J]. JOURNAL OF NUMBER THEORY, 1994, 47 (02) : 198 - 223
  • [7] Notes on theta series for Niemeier lattices II
    Shoyu Nagaoka
    [J]. The Ramanujan Journal, 2021, 55 : 327 - 335
  • [8] Notes on theta series for Niemeier lattices
    Nagaoka, Shoyu
    Takemori, Sho
    [J]. RAMANUJAN JOURNAL, 2017, 42 (02): : 385 - 400
  • [9] Niemeier lattices and K3 groups
    Zhang, De-Qi
    [J]. ALGEBRAIC GEOMETRY-USA, 2007, 422 : 223 - 239
  • [10] Notes on theta series for Niemeier lattices II
    Nagaoka, Shoyu
    [J]. RAMANUJAN JOURNAL, 2021, 55 (01): : 327 - 335