Cluster categories of formal DG algebras and singularity categories
DOI10.1017/fms.2022.30OpenAlexW3012513591MaRDI QIDQ5866298
Publication date: 13 June 2022
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.07858
singularity categorycluster categorycluster tilting subcategoryCalabi-Yau algebraDG algebraIwanaga-Gorenstein algebra\(d\)-representation-infinite algebraderived orbit categoryDG orbit category
Rings arising from noncommutative algebraic geometry (16S38) Cohen-Macaulay modules in associative algebras (16G50) Differential graded algebras and applications (associative algebraic aspects) (16E45) Chain complexes (category-theoretic aspects), dg categories (18G35) Derived categories and associative algebras (16E35) Derived categories, triangulated categories (18G80)
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Cites Work
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- Higher preprojective algebras and stably Calabi-Yau properties
- Explicit models for some stable categories of maximal Cohen-Macaulay modules
- Cluster tilting objects in generalized higher cluster categories.
- Noncommutative del Pezzo surfaces and Calabi-Yau algebras
- The ubiquity of generalized cluster categories
- The structure of AS-Gorenstein algebras.
- Cluster categories for algebras of global dimension 2 and quivers with potential.
- Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
- Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
- A noncommutative version of Beilinson's theorem
- Superpotentials and higher order derivations.
- Helices on del Pezzo surfaces and tilting Calabi-Yau algebras
- Quivers with potentials and their representations. I: Mutations.
- Graded algebras of global dimension 3
- Localization of triangulated categories and derived categories
- Noncommutative homology of some three-dimensional quantum spaces
- Noncommutative projective schemes
- Derived categories of graded gentle one-cycle algebras
- The differential graded stable category of a self-injective algebra
- The Happel functor and homologically well-graded Iwanaga-Gorenstein algebras
- Calabi-Yau algebras and superpotentials
- DG polynomial algebras and their homological properties
- Compact corigid objects in triangulated categories and co-\(t\)-structures
- Stable categories of higher preprojective algebras.
- \(n\)-representation infinite algebras.
- Graded Calabi Yau algebras of dimension 3.
- Mutation in triangulated categories and rigid Cohen-Macaulay modules
- Tilting theory and cluster combinatorics.
- Rigid modules over preprojective algebras.
- On triangulated orbit categories
- Cluster algebras I: Foundations
- Preprojective algebras and c -sortable words
- CONSISTENCY CONDITIONS FOR DIMER MODELS
- Silting mutation in triangulated categories
- On two examples by Iyama and Yoshino
- Deformed Calabi–Yau completions
- Cluster algebras, quiver representations and triangulated categories
- Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general)
- Dimer models and Calabi-Yau algebras
- Connected cochain DG algebras of Calabi-Yau dimension 0
- Ampleness of two-sided tilting complexes
- Cluster structures for 2-Calabi–Yau categories and unipotent groups
- Acyclic Calabi–Yau categories
- Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras
- Deriving DG categories
- Non-noetherian regular rings of dimension 2
- Silting reduction and Calabi–Yau reduction of triangulated categories
- GRADED TWISTED CALABI–YAU ALGEBRAS ARE GENERALIZED ARTIN–SCHELTER REGULAR
- Quotients of triangulated categories and Equivalences of Buchweitz, Orlov, and Amiot-Guo-Keller
- Derived Categories
- Stable categories of Cohen-Macaulay modules and cluster categories: Dedicated to Ragnar-Olaf Buchweitz on the occasion of his sixtieth birthday
- Wall-Crossing Structures in Donaldson–Thomas Invariants, Integrable Systems and Mirror Symmetry
- REALIZING HIGHER CLUSTER CATEGORIES OF DYNKIN TYPE AS STABLE MODULE CATEGORIES
- HOMOLOGICAL TRANSCENDENCE DEGREE
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