Arithmetic statistics for the fine Selmer group in Iwasawa theory

被引:0
|
作者
Anwesh Ray
R. Sujatha
机构
[1] Université de Montréal,Centre de Recherches Mathématiques
[2] University of British Columbia,Department of Mathematics
来源
关键词
Arithmetic statistics; Iwasawa theory; Fine Selmer groups; Elliptic curves; Local torsion; Euler characteristic; 11G05; 11R23 (primary); 11R45 (secondary);
D O I
暂无
中图分类号
学科分类号
摘要
We study arithmetic statistics for Iwasawa invariants for fine Selmer groups associated to elliptic curves.
引用
收藏
相关论文
共 50 条
  • [1] Arithmetic statistics for the fine Selmer group in Iwasawa theory
    Ray, Anwesh
    Sujatha, R.
    RESEARCH IN NUMBER THEORY, 2023, 9 (03)
  • [2] Iwasawa theory of the fine Selmer group
    Wuthrich, Christian
    JOURNAL OF ALGEBRAIC GEOMETRY, 2007, 16 (01) : 83 - 108
  • [3] ARITHMETIC STATISTICS AND NONCOMMUTATIVE IWASAWA THEORY
    Kundu, Debanjana
    Lei, Antonio
    Ray, Anwesh
    DOCUMENTA MATHEMATICA, 2022, 27 : 89 - 150
  • [4] On the μ equals zero conjecture for fine Selmer groups in Iwasawa theory
    Deo, Shaunak, V
    Ray, Anwesh
    Sujatha, R.
    PURE AND APPLIED MATHEMATICS QUARTERLY, 2023, 19 (02) : 641 - 680
  • [5] Iwasawa theory of fine Selmer groups associated to Drinfeld modules
    Ray, Anwesh
    MATHEMATIKA, 2024, 70 (03)
  • [6] Boundedness of Iwasawa Invariants of Fine Selmer Groups and Selmer Groups
    Kleine, Soeren
    Matar, Ahmed
    RESULTS IN MATHEMATICS, 2023, 78 (04)
  • [7] Boundedness of Iwasawa Invariants of Fine Selmer Groups and Selmer Groups
    Sören Kleine
    Ahmed Matar
    Results in Mathematics, 2023, 78
  • [8] Selmer groups in Iwasawa theory and congruences
    Sujatha, Ramdorai
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2020, 378 (2163):
  • [9] TOPOLOGICAL IWASAWA INVARIANTS AND ARITHMETIC STATISTICS
    Dion, Cedric
    Ray, Anwesh
    DOCUMENTA MATHEMATICA, 2022, 27 : 1643 - 1669
  • [10] Comparing the corank of fine Selmer group and Selmer group of elliptic curves
    Shekhar, Sudhanshu
    JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2018, 33 (02) : 205 - 217