A note on the singularity category of an endomorphism ring
arXiv:1307.6915 · doi:10.1007/s11512-014-0200-0
Abstract
We propose the notion of partial resolution of a ring, which is by definition the endomorphism ring of a certain generator of the given ring. We prove that the singularity category of the partial resolution is a quotient of the singularity category of the given ring. Consequences and examples are given.