Recollements and ladders for weighted projective lines

被引：1
|
作者：
Ruan, Shiquan [1 ,2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Bielefeld Univ, Fac Math, D-33501 Bielefeld, Germany
来源：
JOURNAL OF ALGEBRA | 2021年 / 578卷
基金：
中国国家自然科学基金;
关键词：
Weighted projective line; p-Cycle; Recollement; Ladder; Exceptional curve; HEREDITARY NOETHERIAN CATEGORIES; FINITE-DIMENSIONAL ALGEBRAS; REPRESENTATIONS; CURVES;
D O I：
10.1016/j.jalgebra.2021.02.032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we construct recollements and ladders for exceptional curves by using reduction/insertion functors due to p-cycle construction. As applications to weighted projective lines, we classify recollements for the category of coherent sheaves over a weighted projective line, and give an explicit description of ladders in two different levels: the bounded derived category of coherent sheaves and the stable category of vector bundles. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：213 / 240
页数：28
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