Local duality for connected Z-algebras
Rings and Algebras
2023-05-17 v3 Algebraic Geometry
Abstract
We develop basic homological machinery for Z-algebras in order to prove a version of local duality for Ext-finite connected Z-algebras. As an application, we compare two notions of regularity for such algebras.
Cite
@article{arxiv.1910.06301,
title = {Local duality for connected Z-algebras},
author = {Izuru Mori and Adam Nyman},
journal= {arXiv preprint arXiv:1910.06301},
year = {2023}
}
Comments
The statements of Theorem 6.11 and Theorem 7.8 in the published paper are not correct: each have a missing hypothesis which is needed for their proof. In an attached corrigendum, we restate both theorems (with the required extra hypothesis), and give corrected proofs of each