Openness of the regular locus and generators for module categories
Commutative Algebra
2018-08-14 v1 Representation Theory
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.
Cite
@article{arxiv.1808.03678,
title = {Openness of the regular locus and generators for module categories},
author = {Srikanth B. Iyengar and Ryo Takahashi},
journal= {arXiv preprint arXiv:1808.03678},
year = {2018}
}
Comments
6 pages, To appear in Acta Mathematica Vietnamica, Special issue: The prospects for Commutative Algebra