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
相关论文
共 50 条
  • [31] Recursion formulas for Appell functions
    Wang, Xiaoxia
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2012, 23 (06) : 421 - 433
  • [32] Triangle singularities, ADE-chains, and weighted projective lines
    Kussin, Dirk
    Lenzing, Helmut
    Meltzer, Hagen
    ADVANCES IN MATHEMATICS, 2013, 237 : 194 - 251
  • [33] A computer algebra approach to sheaves over weighted projective lines
    Dowbor, P
    Hübner, T
    COMPUTATIONAL METHODS FOR REPRESENTATIONS OF GROUPS AND ALGEBRAS, 1999, 173 : 187 - 200
  • [34] Some formulas for numbers of line segments and lines in a rectangular grid
    Haukkanen, Pentti
    Merikoski, Jorma K.
    ARS COMBINATORIA, 2012, 104 : 353 - 361
  • [35] Adic sheaves over weighted projective lines and elliptic curves
    Chen, Jinjing
    Chen, Jianmin
    Lin, Yanan
    HOKKAIDO MATHEMATICAL JOURNAL, 2019, 48 (03) : 475 - 487
  • [36] Admissible Homomorphisms and Equivariant Relations Between Weighted Projective Lines
    Chen, Jianmin
    Lin, Yanan
    Ruan, Shiquan
    Zhang, Hongxia
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (02) : 1013 - 1060
  • [37] Geometric model for weighted projective lines of type (p, q )
    Chen, Jianmin
    Ruan, Shiquan
    Zhang, Hongxia
    JOURNAL OF ALGEBRA, 2025, 666 : 530 - 573
  • [38] Topological computation of Stokes matrices of some weighted projective lines
    Anna-Laura Sattelberger
    manuscripta mathematica, 2021, 164 : 327 - 347
  • [39] Topological computation of Stokes matrices of some weighted projective lines
    Sattelberger, Anna-Laura
    MANUSCRIPTA MATHEMATICA, 2021, 164 (3-4) : 327 - 347
  • [40] WEIGHTED PROJECTIVE LINES AS FINE MODULI SPACES OF QUIVER REPRESENTATIONS
    Abdelgadir, Tarig
    Ueda, Kazushi
    COMMUNICATIONS IN ALGEBRA, 2015, 43 (02) : 636 - 649