中文

Proxy smallness meets $t$-structures

代数几何 2026-05-27 v2 交换代数 范畴论 表示论

摘要

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

关键词

引用

@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}
}

备注

comments welcome!