Residual regularity in tensor triangular geometry
Category Theory
2026-05-27 v1 Algebraic Geometry
Representation Theory
Abstract
We investigate a new notion of regularity for tensor triangulated categories, called residual regularity. We show that residual regularity descends and ascends via finite separable extensions and we classify all finite groups whose derived category of permutation modules is residually regular.
Cite
@article{arxiv.2605.27244,
title = {Residual regularity in tensor triangular geometry},
author = {Emmy Van Rooy},
journal= {arXiv preprint arXiv:2605.27244},
year = {2026}
}
Comments
31 pages, comments welcome!