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Prüfer Sheaves and Generic Sheaves Over the Weighted Projective Lines and Elliptic Curves

Prüfer Sheaves and Generic Sheaves Over the Weighted Projective Lines and Elliptic Curves
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摘要 In the present paper, we introduce the concepts of Prüfer sheaves and adic sheaves over a weighted projective line of genus one or an elliptic curve, show that Prüfer sheaves and adic sheaves can characterize the category of coherent sheaves. Moreover, we describe the relationship between Prüfer sheaves and generic sheaves, and provide two methods to construct generic sheaves by using coherent sheaves and Prüfer sheaves. In the present paper, we introduce the concepts of Prüfer sheaves and adic sheaves over a weighted projective line of genus one or an elliptic curve, show that Prüfer sheaves and adic sheaves can characterize the category of coherent sheaves. Moreover, we describe the relationship between Prüfer sheaves and generic sheaves, and provide two methods to construct generic sheaves by using coherent sheaves and Prüfer sheaves.
作者 Jian Min CHEN Jin Jing CHEN Ya Nan LIN
机构地区 School of Mathematical Sciences
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2017年第5期705-724,共20页 数学学报（英文版）
基金 Supported by National Nature Science Foundation of China(Grant Nos.11571286,11471269) the Natural Science Foundation of Fujian Province of China(Grant No.2016J01031) the Fundamental Research Funds for the Central Universities of China(Grant No.20720150006)
关键词 Weighted projective line elliptic curve quasi-coherent sheaf pure-injective object Weighted projective line elliptic curve quasi-coherent sheaf pure-injective object
分类号 O186.11 [理学—基础数学]
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Acta Mathematica Sinica,English Series
2017年 第5期

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