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

页码：213 / 240

页数：28

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