Generic sheaves on elliptic curves

被引:5
作者
Chen, Jianmin [1 ]
Lin, Yanan [1 ]
机构
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
基金
中国国家自然科学基金;
关键词
elliptic curve; coherent sheaf; quasi-coherent sheaf; generic sheaf;
D O I
10.1016/j.jalgebra.2008.01.035
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper we introduce the notion of generic sheaves on an elliptic curve E. We then describe all the generic sheaves which are determined by their slopes. We also show that the coherent sheaves on E can be classified by genetic sheaves. (C) 2008 Elsevier Inc. All fights reserved.
引用
收藏
页码:4360 / 4371
页数:12
相关论文
共 21 条
  • [1] [Anonymous], 1977, ALGEBRAIC GEOM
  • [2] Atiyah M. F., 1957, Proceedings of the London Mathematical Society, V7, P414, DOI 10.1112/plms/s3-7.1.414
  • [3] Bodnarchuk L., 2006, GLOBAL ASPECTS COMPL, P83
  • [4] Brunetti E., 1907, Records of the Indian Museum, V1
  • [5] Tilting and cotilting for quivers of type (A)over-tilden
    Buan, AB
    Krause, H
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2004, 190 (1-3) : 1 - 21
  • [6] Derived categories of irreducible projective curves of arithmetic genus one
    Burban, Igor
    Kreussler, Bernd
    [J]. COMPOSITIO MATHEMATICA, 2006, 142 (05) : 1231 - 1262
  • [7] Crawley-Boevey W., 1992, LONDON MATH SOC LECT, V168, P127
  • [8] CRAWLEYBOEVEY W, 1991, P LOND MATH SOC, V63, P241
  • [9] LOCALLY FINITELY PRESENTED ADDITIVE CATEGORIES
    CRAWLEYBOEVEY, W
    [J]. COMMUNICATIONS IN ALGEBRA, 1994, 22 (05) : 1641 - 1674
  • [10] Gabriel P., 1962, B SOC MATH FRANCE, V90, P328