Local dualisable objects in local algebra
Commutative Algebra
2023-03-09 v1
Abstract
We discuss dualisable objects in minimal subcategories of compactly generated tensor triangulated categories, paying special attention to the derived category of a commutative noetherian ring. A cohomological criterion for detecting these local dualisable objects is established. Generalisations to other related contexts are discussed.
Cite
@article{arxiv.2302.08562,
title = {Local dualisable objects in local algebra},
author = {Dave Benson and Srikanth B. Iyengar and Henning Krause and Julia Pevtsova},
journal= {arXiv preprint arXiv:2302.08562},
year = {2023}
}
Comments
15 pages