AS-REGULARITY OF GEOMETRIC ALGEBRAS OF PLANE CUBIC CURVES

DOI10.1017/S1446788721000070MaRDI QIDQ5067204

Ayako Itaba, Masaki Matsuno

Publication date: 1 April 2022

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02502

zbMATH Keywords

elliptic curvesKoszul algebrasCalabi-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) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items (4)

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

Cites Work

• Skew Calabi-Yau algebras and homological identities.
• \(m\)-Koszul Artin-Schelter regular algebras
• Superpotentials and higher order derivations.
• Graded algebras of global dimension 3
• Noncommutative projective schemes
• Quadratic automaton algebras and intermediate growth
• 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
• 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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