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

作　　者：CHEN JianMin LIN YaNan RUAN ShiQuan 

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

出　　处：《Science China Mathematics》2014年第2期245-258,共14页中国科学：数学（英文版）

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.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：tilting object torsion pair weighted projective line factor category T-STRUCTURE 

分 类 号：O153[理学—数学]