Different Hearts on Elliptic Curves

被引：0
|
作者：
Yucheng Liu
机构：
[1] BeijingInternationalCenterforMathematicalResearch,PekingUniversity
来源：
Acta Mathematica Sinica,English Series | 2025年 / 03期
关键词：
D O I：
暂无
中图分类号：
O186.11 [古典微分几何];
学科分类号：
摘要：
The classical Mumford stability condition of vector bundles on a complex elliptic curve X, can be viewed as a Bridgeland stability condition on Db（Coh X）, the bounded derived category of coherent sheaves on X. This point of view gives us infinitely many t-structures and hearts on Db（Coh X）. In this paper, we answer the question which of these hearts are Noetherian or Artinian.
引用
收藏
页码：847 / 853
页数：7
相关论文
共 50 条
  • [21] On hashing into elliptic curves
    Farashahi, Reza R.
    Shparlinski, Igor E.
    Voloch, Jose Felipe
    JOURNAL OF MATHEMATICAL CRYPTOLOGY, 2009, 3 (04) : 353 - 360
  • [22] Regulators of Elliptic Curves
    Autissier, Pascal
    Hindry, Marc
    Pazuki, Fabien
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (07) : 4976 - 4993
  • [23] EXPONENTS OF ELLIPTIC CURVES
    SHAFAREVICH, IR
    DOKLADY AKADEMII NAUK SSSR, 1957, 114 (04): : 714 - 716
  • [24] Elliptic Curves for Applications
    Lange, Tanja
    PROGRESS IN CRYPTOLOGY - INDOCRYPT 2011, 2011, 7107 : 2 - 2
  • [25] Twists of Elliptic Curves
    Kronberg, Max
    Soomro, Muhammad Afzal
    Top, Jaap
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2017, 13
  • [26] On the topology of elliptic curves
    Medvedev, N. V.
    Titov, S. S.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2012, 18 (01): : 242 - 250
  • [27] TORSION OF ELLIPTIC CURVES
    KUBERT, DS
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (05): : A482 - A482
  • [28] On the density of elliptic curves
    Wong, SM
    COMPOSITIO MATHEMATICA, 2001, 127 (01) : 23 - 54
  • [29] RANK OF ELLIPTIC CURVES
    BRUMER, A
    KRAMER, K
    DUKE MATHEMATICAL JOURNAL, 1977, 44 (04) : 715 - 743
  • [30] Cohomologies of elliptic curves
    Narzullaev, U
    PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 985 - 991
12345