Some quantum P3s with one point

DOI10.1080/00927879908826504zbMath0926.16037OpenAlexW1965031787MaRDI QIDQ4236948

Brad Shelton, Michaela Vancliff

Publication date: 3 May 1999

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

Full work available at URL: https://doi.org/10.1080/00927879908826504

zbMATH Keywords

relationsgeneratorsregular algebrasglobal dimensionsquadratic algebraspoint modulesquantum projective planespoint schemes

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Associative rings of functions, subdirect products, sheaves of rings (16S60) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Finite rings and finite-dimensional associative algebras (16P10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10)

Related Items

Embedding a quantum rank three quadric in a quantum P³ ⋮ Cocycle twists of 4-dimensional Sklyanin algebras ⋮ SCHEMES OF LINE MODULES. II ⋮ Exotic elliptic algebras ⋮ Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras. ⋮ Flat families of point schemes for connected graded algebras ⋮ A class of AS-regular algebras of dimension five. ⋮ Unnamed Item ⋮ Exotic elliptic algebras of dimension 4. With an appendix by Derek Tomlin ⋮ A geometric invariant of 6-dimensional subspaces of 4×4 matrices

Cites Work

• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\)
• Artin-Schelter regular algebras of global dimension three
• Central extensions of three dimensional Artin-Schelter regular algebras
• Algebras associated to elliptic curves
• Some quantum P³s with infinitely many points
• SCHEMES OF LINE MODULES. II