Proxy smallness meets $t$-structures
Algebraic Geometry
2026-05-27 v2 Commutative Algebra
Category Theory
Representation Theory
Abstract
We introduce a notion of proxy smallness for -structures on triangulated categories associated to a Noetherian scheme. Specifically, the theory is developed in the presence of tensor actions. Consequently, our results yield a new characterization of schemes that are locally complete intersections in terms of -structures, as well as a topological classification of preaisles on the bounded derived category of coherent sheaves.
Cite
@article{arxiv.2605.26057,
title = {Proxy smallness meets $t$-structures},
author = {Michal Hrbek and Pat Lank and Giovanna Le Gros and Sergio Pavon},
journal= {arXiv preprint arXiv:2605.26057},
year = {2026}
}
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