Abelianness of the “missing part” from a sheaf category to a module category

查看全文 作　　者：CHEN [1]JianMin;LIN [1]YaNan;RUAN [1]ShiQuan

机构地区：[1]School of Mathematical Sciences,Xiamen University

出　　处：《Science China Mathematics》索引2014年第57卷第2期,共14页

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11201386,10931006,11071040 and 11201388);the Natural Science Foundation of Fujian Province of China(Grant No.2012J05009) 摘　　要：This paper investigates the structure of the'missing part'from the category of coherent sheaves over a weighted projective line of weight type(2,2,n)to the category of finitely generated right modules on the associated canonical algebra.By constructing a t-structure in the stable category of the vector bundle category,we show that the'missing part'is equivalent to the heart of the t-structure,hence it is abelian.Moreover,it is equivalent to the category of finitely generated modules on the path algebra of type An-1. 关键词：生成模块路径代数有限生成结构模范畴向量丛加权

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Abelianness of the “missing part” from a sheaf category to a module category

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