Classification of resolving subcategories and grade consistent functions
Commutative Algebra
2013-06-17 v3 Category Theory
Rings and Algebras
Representation Theory
Abstract
We classify certain resolving subcategories of finitely generated modules over a commutative noetherian ring R by using integer-valued functions on Spec R. As an application we give a complete classification of resolving subcategories when R is a locally hypersurface ring. Our results also recover a "missing theorem" by Auslander.
Cite
@article{arxiv.1202.5605,
title = {Classification of resolving subcategories and grade consistent functions},
author = {Hailong Dao and Ryo Takahashi},
journal= {arXiv preprint arXiv:1202.5605},
year = {2013}
}
Comments
Some minor changes from the referees' suggestions. To appear in International Mathematics Research Notices