Openness of the Regular Locus and Generators for Module Categories
Srikanth B. Iyengar
,
Ryo Takahashi
Abstract
This work clarifies the relationship between the openness of the regular locus of a commutative Noetherian ring $R$ and the existence of generators for the category of finitely generated $R$-modules, the corresponding bounded derived category, and for the singularity category of $R$.