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arXiv · 2605.26057

Proxy smallness meets $t$-structures

Michal Hrbek·Pat Lank·Giovanna Le Gros·Sergio Pavon
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Abstract

We introduce a notion of proxy smallness for $t$-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 $t$-structures, as well as a topological classification of preaisles on the bounded derived category of coherent sheaves.

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Michal Hrbek, Pat Lank, Giovanna Le Gros, Sergio Pavon. 2026-05-25. Proxy smallness meets $t$-structures. https://arxiv.org/abs/2605.26057

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