paper

Local dualisable objects in local algebra

arXiv:2302.08562

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.

15 pages

Local dualisable objects in local algebra · wovepaper