Residual regularity in tensor triangular geometry

Emmy Van Rooy

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arXiv · 2605.27244

Residual regularity in tensor triangular geometry

Emmy Van Rooy

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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.

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Emmy Van Rooy. 2026-05-26. Residual regularity in tensor triangular geometry. https://arxiv.org/abs/2605.27244

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