Noncommutative blowups of elliptic algebras

DOI10.1007/s10468-014-9506-7zbMath1331.14004arXiv1308.2216OpenAlexW2155816241MaRDI QIDQ2348557

Daniel Rogalski, J. Toby Stafford, Susan J. Sierra

Publication date: 15 June 2015

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2216

zbMATH Keywords

Sklyanin algebrastwisted homogeneous coordinate ringnoncommutative projective geometryNoetherian graded ringsnoncommutative surfaceselliptic algebradivisor layeringexceptional line modulesGodie torsion modulegraded quotient ringnoncommutative blowing upsporadic ideals

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) 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) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (5)

Noncommutative versions of some classical birational transformations ⋮ Maximal orders in the Sklyanin algebra ⋮ Three dimensional Sklyanin algebras and Gröbner bases ⋮ Some noncommutative minimal surfaces ⋮ Ring-theoretic blowing down. II: Birational transformations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blowup subalgebras of the Sklyanin algebra
• Twisted homogeneous coordinate rings
• Classifying orders in the Sklyanin algebra
• Modules over regular algebras of dimension 3
• Noncommutative projective schemes
• Existence theorems for dualizing complexes over non-commutative graded and filtered rings
• Graded modules of Gelfand-Kirillov dimension one over three-dimensional Artin-Schelter regular algebras
• Naïve blowups and canonical birationally commutative factors
• Blowing up of non-commutative smooth surfaces
• Some properties of non-commutative regular graded rings
• Algebras associated to elliptic curves
• Modules Over Elliptic Algebras and Quantum Planes
• Abstract Hilbert schemes. I

This page was built for publication: Noncommutative blowups of elliptic algebras