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Iyama-Solberg correspondence for exact dg categories

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arxiv 2401.02064 v2 pith:Z2SABBXG submitted 2024-01-04 math.RT math.CT

Xiaofa Chen This is my paper · ORCID
classification math.RTmath.CT
keywords exactcategoriestiltingauslander--gorensteinbijectioncategoryclassescorrespondence
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $g$-vector fans and picture categories for 0-Auslander extriangulated categories

    math.RT 2026-08 accept novelty 7.0 of 10

    g-vector fans and picture categories are extended to 0-Auslander extriangulated categories, unifying tau-cluster morphism categories and earlier picture categories.

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