A new equivalence between singularity categories of commutative algebras

被引：1
|
作者：
Kalck, Martin
机构：
来源：
ADVANCES IN MATHEMATICS | 2021年 / 390卷
关键词：
Singularity category; Singular equivalence; Cyclic quotient singularity; Non-Gorenstein; Triangle equivalence; Heller stabilization of left; triangulated categories; TRIANGULATED CATEGORIES;
D O I：
10.1016/j.aim.2021.107913
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a triangle equivalence between the singularity categories of two isolated cyclic quotient singularities of Krull dimensions two and three, respectively. This is the first example of a singular equivalence involving connected commutative algebras of odd and even Krull dimension. In combination with Orlov's localization result, this gives further singular equivalences between certain quasi-projective varieties of dimensions two and three, respectively. (c) 2021 Elsevier Inc. All rights reserved.
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页数：11
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