A Complete Classification of 3-dimensional Quadratic AS-regular Algebras of Type EC

DOI10.4153/S0008439520000302zbMath1474.14007arXiv1912.05167OpenAlexW3018218034MaRDI QIDQ5858663

Masaki Matsuno

Publication date: 14 April 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05167

zbMATH Keywords

elliptic curvesCalabi-Yau algebrassuperpotentialsAS-regular algebrasgeometric algebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Elliptic curves (14H52) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items (5)

Quantum projective planes finite over their centers ⋮ Twisted algebras of geometric algebras ⋮ Classification of noncommutative conics associated to symmetric regular superpotentials ⋮ Noncommutative conics in Calabi-Yau quantum projective planes ⋮ Quantum projective planes as certain graded twisted tensor products

Cites Work

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• Skew Calabi-Yau algebras and homological identities.
• \(m\)-Koszul Artin-Schelter regular algebras
• Superpotentials and higher order derivations.
• Graded algebras of global dimension 3
• The classification of 3-Calabi-Yau algebras with 3 generators and 3 quadratic relations
• Graded Calabi Yau algebras of dimension 3.
• Multilinear forms and graded algebras
• CO-POINT MODULES OVER KOSZUL ALGEBRAS
• Twisted Graded Algebras and Equivalences of Graded Categories
• GRADED MORITA EQUIVALENCES FOR GEOMETRIC AS-REGULAR ALGEBRAS
• Defining relations of 3-dimensional quadratic AS-regular algebras

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