Maximal orders in the Sklyanin algebra

DOI10.1016/j.jalgebra.2022.02.015zbMath1494.14005arXiv2008.06947OpenAlexW2904807975MaRDI QIDQ2132480

Dominic Hipwood

Publication date: 28 April 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.06947

zbMATH Keywords

noncommutative algebraSklyanin algebranoncommutative projective geometry

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Ordinary and skew polynomial rings and semigroup rings (16S36)

Cites Work

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• Blowup subalgebras of the Sklyanin algebra
• Twisted homogeneous coordinate rings
• Classifying orders in the Sklyanin algebra
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Noncommutative projective schemes
• Existence theorems for dualizing complexes over non-commutative graded and filtered rings
• Noncommutative graded domains with quadratic growth
• Generic flatness for strongly Noetherian algebras
• Noncommutative blowups of elliptic algebras
• Naïve noncommutative blowups at zero-dimensional schemes
• Classifying birationally commutative projective surfaces
• Maximal Orders and Reflexive Modules
• A class of noncommutative projective surfaces

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