Relative singularity categories II: DG models
Relative singularity categories II: DG models
复制标题
DOI：
--
复制
发表时间：
2018-03
期刊：
影响因子：
--
通讯作者：
Martin Kalck;D. Yang
中科院分区：
文献类型：
--
作者：
Martin Kalck;D. Yang
研究了奇性范畴与相对奇性范畴之间的关系，讨论了相对奇性范畴的微分分次代数的构造。作为后果，我们得到的结构性结果，这是已知的或推广已知的结果，奇异类别的代数与根平方零，非交换变形的Kleinian奇点，的$SL_3（\mathbb{C}）$-商奇点和Gorenstein环面三倍。
We study the relationship between singularity categories and relative singularity categories and discuss constructions of differential graded algebras of relative singularity categories. As consequences, we obtain structural results, which are known or generalise known results, on singularity categories of algebras with radical square zero, of non-commutative deformations of Kleinian singularities, of $SL_3(\mathbb{C})$-quotient singularities and of Gorenstein toric threefolds.