English

Koszul algebras and regularity

Commutative Algebra 2012-11-20 v1

Abstract

This is a survey paper on commutative Koszul algebras and Castelnuovo-Mumford regularity. We describe several techniques to establish the Koszulness of algebras. We discuss variants of the Koszul property such as strongly Koszul, absolutely Koszul and universally Koszul. We present several open problems related with these notions and their local variants.

Keywords

Cite

@article{arxiv.1211.4324,
  title  = {Koszul algebras and regularity},
  author = {Aldo Conca and Emanuela De Negri and Maria Evelina Rossi},
  journal= {arXiv preprint arXiv:1211.4324},
  year   = {2012}
}
R2 v1 2026-06-21T22:40:33.340Z