Recursion Formulas on Hall Numbers for Weighted Projective Lines

被引:0
|
作者
Zhang, Xiaofeng [1 ]
机构
[1] Xiamen Inst Technol, Sch Data & Comp Sci, Xiamen 361021, Peoples R China
来源
FRONTIERS OF MATHEMATICS | 2023年 / 18卷 / 05期
关键词
Hall number; weighted projective line; recursion formula; Green's formula; STABLE CATEGORY; TILTING OBJECTS; MISSING PART; ALGEBRAS; BUNDLES; CURVES;
D O I
10.1007/s11464-021-0123-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the property of Hall numbers for the category of coherent sheaves over a weighted projective line. Several recursion formulas on Hall numbers are obtained, whose proofs rely on Green's formula. Similar formulas for tame quivers and cyclic quivers are discussed.
引用
收藏
页码:1157 / 1166
页数:10
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