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arXiv · 2505.14353

Openness with respect to levels in triangulated categories

Souvik Dey·Jian Liu·Liran Shaul
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Abstract

Given a compactly generated triangulated category $\mathcal{T}$ equipped with an action of a graded-commutative Noetherian ring $R$, generalizing results of Letz, we prove a general result concerning the openness with respect to levels of compact objects in $\mathcal{T}$. Applications are given to derived categories of commutative Noetherian rings, derived categories of commutative Noetherian DG rings and singularity categories.

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Souvik Dey, Jian Liu, Liran Shaul. 2025-05-20. Openness with respect to levels in triangulated categories. https://arxiv.org/abs/2505.14353

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