SCHEMES OF LINE MODULES I

DOI10.1112/S0024610702003186zbMath1016.16018OpenAlexW2150994270MaRDI QIDQ3151119

Michaela Vancliff, Brad Shelton

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1112/s0024610702003186

zbMATH Keywords

regular algebrasquadratic algebrasline modulespoint schemesline schemeslinear modules

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items (14)

Constructing Clifford quantum \(\mathbb P^3\)'s with finitely many points ⋮ SCHEMES OF LINE MODULES. II ⋮ Exotic elliptic algebras ⋮ Noncommutative geometry of homogenized quantum \(\mathfrak{sl}(2, \mathbb{C})\) ⋮ The quantum spaces of certain graded algebras related to \(\mathfrak{sl}(2, \Bbbk)\) ⋮ The one-dimensional line scheme of a family of quadratic quantum \(\mathbb{P}^3\)s ⋮ Unnamed Item ⋮ Exotic elliptic algebras of dimension 4. With an appendix by Derek Tomlin ⋮ Some finite quantum \(\mathbb{P}^3\)s that are infinite modules over their centers. ⋮ On Koszul algebras and a new construction of Artin-Schelter regular algebras ⋮ Generalized Laurent polynomial rings as quantum projective 3-spaces. ⋮ Isomorphisms of graded skew Clifford algebras ⋮ The one-dimensional line scheme of a certain family of quantum \(\mathbb{P}^3\mathrm{s}\) ⋮ A geometric invariant of 6-dimensional subspaces of 4×4 matrices

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