On the arithmetic of twists of superelliptic curves

被引:2
|
作者
Chang, Sungkon [1 ]
机构
[1] Armstrong Atlantic State Univ, Dept Math, Savannah, GA 31419 USA
关键词
twists; superelliptic curves; Mordell-Weil rank; Selmer rank;
D O I
10.4064/aa124-4-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:371 / 389
页数:19
相关论文
共 50 条
  • [1] Tropical superelliptic curves
    Brandt, Madeline
    Helminck, Paul Alexander
    ADVANCES IN GEOMETRY, 2020, 20 (04) : 527 - 551
  • [2] The case for superelliptic curves
    Beshaj, L.
    Shaska, T.
    Zhupa, E.
    ADVANCES ON SUPERELLIPTIC CURVES AND THEIR APPLICATIONS, 2015, 41 : 1 - 14
  • [3] Weierstrass points of superelliptic curves
    Shor, C.
    Shaska, T.
    ADVANCES ON SUPERELLIPTIC CURVES AND THEIR APPLICATIONS, 2015, 41 : 15 - 46
  • [4] Theta functions of superelliptic curves
    Beshaj, Lubjana
    Elezi, Artur
    Shaska, Tony
    ADVANCES ON SUPERELLIPTIC CURVES AND THEIR APPLICATIONS, 2015, 41 : 47 - 69
  • [5] On the field of moduli of superelliptic curves
    Hidalgo, Ruben
    Shaska, Tony
    HIGHER GENUS CURVES IN MATHEMATICAL PHYSICS AND ARITHMETIC GEOMETRY, 2018, 703 : 47 - 62
  • [6] Galois representations of superelliptic curves
    Pacetti, Ariel
    Villanueva, Angel
    GLASGOW MATHEMATICAL JOURNAL, 2023, 65 (02) : 356 - 382
  • [7] Triangular Schlesinger systems and superelliptic curves
    Dragovic, Vladimir
    Gontsov, Renat
    Shramchenko, Vasilisa
    PHYSICA D-NONLINEAR PHENOMENA, 2021, 424
  • [8] Hasse principle violations in twist families of superelliptic curves
    Watson, Lori D.
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2023, 19 (09) : 2051 - 2060
  • [9] On the proportion of locally soluble superelliptic curves
    Beneish, Lea
    Keyes, Christopher
    FINITE FIELDS AND THEIR APPLICATIONS, 2023, 85
  • [10] RATIONAL POINTS ON THREE SUPERELLIPTIC CURVES
    Shen, Zhongyan
    Cai, Tianxin
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 85 (01) : 105 - 113