Quadratic algebras associated with the union of a quadric and a line in \(\mathbb{P}^ 3\)

DOI10.1006/jabr.1994.1098zbMath0837.16023OpenAlexW2054618196MaRDI QIDQ1327020

Michaela Vancliff

Publication date: 11 July 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1098

zbMATH Keywords

quantum determinantsline modulespoint modulescoordinate rings of quantum \(2\times 2\) matricesgraded quadratic algebrasnonsingular quadrics

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Graded rings and modules (associative rings and algebras) (16W50) Automorphisms of curves (14H37) Twisted and skew group rings, crossed products (16S35) Low codimension problems in algebraic geometry (14M07)

Related Items (12)

Embedding a quantum rank three quadric in a quantum P³ ⋮ Central Extensions of Stephenson's Algebras ⋮ Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\) ⋮ Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras. ⋮ A class of AS-regular algebras of dimension five. ⋮ The quantum spaces of certain graded algebras related to \(\mathfrak{sl}(2, \Bbbk)\) ⋮ Double Ore extensions. ⋮ Some quantum P³s with infinitely many points ⋮ Canonical maps to twisted rings. ⋮ Double extension regular algebras of type (14641). ⋮ On the Notion of Complete Intersection Outside the Setting of Skew Polynomial Rings ⋮ Four dimensional regular algebras with point scheme, anonsingular quadric in P³

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