Quasi-Gorenstein morphisms of commutative local dg-algebras
Commutative Algebra
2026-05-05 v1 Rings and Algebras
Abstract
We introduce quasi-Gorenstein morphisms of commutative local dg-algebras and use a Gorenstein version of the virtually small property to characterize them, a result which is new even for homomorphisms of local rings. In a different direction, we characterize exact sequences in a noetherian local ring, in the sense of Avramov, Henriques, and \c{S}ega, in terms of quasi-Gorenstein morphisms involving Koszul complexes.
Keywords
Cite
@article{arxiv.2605.02029,
title = {Quasi-Gorenstein morphisms of commutative local dg-algebras},
author = {Zachary Nason and Andrew J. Soto Levins and Ryan Watson},
journal= {arXiv preprint arXiv:2605.02029},
year = {2026}
}
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16 pages