Different Hearts on Elliptic Curves

被引：0
作者：
Liu, Yucheng [1 ]
机构：
[1] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2025年 / 41卷 / 03期
关键词：
Bridgeland stability conditions; elliptic curves; continued fractions; STABILITY CONDITIONS; T-STRUCTURES;
D O I：
10.1007/s10114-025-3286-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：847 / 853
页数：7
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