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arXiv · 2405.12763

Asymptotic vanishing of cohomology in triangulated categories

Petter Andreas Bergh·David A. Jorgensen·Peder Thompson
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Abstract

Given a graded-commutative ring acting centrally on a triangulated category, our main result shows that if cohomology of a pair of objects of the triangulated category is finitely generated over the ring acting centrally, then the asymptotic vanishing of the cohomology is well-behaved. In particular, enough consecutive asymptotic vanishing of cohomology implies all eventual vanishing. Several key applications are also given.

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BibTeXRIS

Petter Andreas Bergh, David A. Jorgensen, Peder Thompson. 2024-05-21. Asymptotic vanishing of cohomology in triangulated categories. https://arxiv.org/abs/2405.12763

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