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arXiv · 2401.02064

Iyama-Solberg correspondence for exact dg categories

Xiaofa Chen
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Abstract

We generalize the notions of $d$-cluster tilting pair and $d$-Auslander exact dg category to $d$-precluster tilting triple and $d$-minimal Auslander--Gorenstein exact dg category. We give a bijection between equivalence classes of $d$-precluster tilting triples and equivalence classes of $d$-minimal Auslander--Gorenstein exact dg categories. Our bijection generalizes Iyama--Solberg correspondence for module categories.

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Xiaofa Chen. 2024-01-04. Iyama-Solberg correspondence for exact dg categories. https://arxiv.org/abs/2401.02064

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