GLS-代数的奇点范畴

Singularity categories of GLS-algebras

设H是GLS-代数,Dsg(mod^ZH)是其有限维Z-分次H-模的奇点范畴.本文证明了Dsg(mod^ZH)存在倾斜对象,从而Dsg(mod^ZH)三角等价于某个代数投射模的有界同伦范畴.

Let H be a GLS-algebra and Dsg(mod^ZH)be the singularity category of the finite-dimensional Z-graded H-modules.In this paper we prove that Dsg(mod^ZH)admits a tilting object T and thus Dsg(mod^ZH)≌K^b(proj(End(T)^op)).