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.
| Comments: | comments welcome! |
| Subjects: | Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Category Theory (math.CT); Representation Theory (math.RT) |
| MSC classes: | 14A30 (primary), 14F08, 13D09, 18G80, 14B05 |
| Cite as: | arXiv:2605.26057 [math.AG] |
| (or arXiv:2605.26057v1 [math.AG] for this version) | |
| https://doi.org/10.48550/arXiv.2605.26057 arXiv-issued DOI via DataCite (pending registration) |
From: Pat Lank [view email]
[v1]
Mon, 25 May 2026 17:17:13 UTC (54 KB)
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