Abelianness of the "missing part" from a sheaf category to a module category

作者：Chen JianMin; Lin YaNan; Ruan ShiQuan^*

来源：Science China Mathematics, 2014, 57(2): 245-258.

DOI：10.1007/s11425-013-4759-x

• tilting object
• torsion pair
• weighted projective line
• factor category
• t-structure

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 .

• 出版日期2014-2
• 单位厦门大学