Nonexistence of singly compactly generated $t$-structures for schemes

Anirban Bhaduri; Timothy De Deyn; Michal Hrbek; Pat Lank; Kabeer Manali-Rahul

Nonexistence of singly compactly generated $t$-structures for schemes

Algebraic Geometry 2025-11-04 v1 Commutative Algebra Category Theory

Authors: Anirban Bhaduri , Timothy De Deyn , Michal Hrbek , Pat Lank , Kabeer Manali-Rahul

Abstract

We show the first instances of schemes whose standard aisles on their derived category of quasi-coherent sheaves are not singly compactly generated.

Keywords

perverse sheaves

Cite

@article{arxiv.2511.01622,
  title  = {Nonexistence of singly compactly generated $t$-structures for schemes},
  author = {Anirban Bhaduri and Timothy De Deyn and Michal Hrbek and Pat Lank and Kabeer Manali-Rahul},
  journal= {arXiv preprint arXiv:2511.01622},
  year   = {2025}
}