The one-dimensional line scheme of a family of quadratic quantum \(\mathbb{P}^3\)s

DOI10.1016/j.jalgebra.2018.01.035zbMath1398.14006arXiv1705.10426OpenAlexW2789659677MaRDI QIDQ1706259

Derek Tomlin, Michaela Vancliff

Publication date: 21 March 2018

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

Full work available at URL: https://arxiv.org/abs/1705.10426

zbMATH Keywords

elliptic curvePlücker coordinatesregular algebraline schemepoint scheme

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Quadratic and Koszul algebras (16S37)

Related Items

Graded Clifford algebras and graded skew Clifford algebras and their role in the classification of Artin-Schelter regular algebras, Isomorphisms of graded skew Clifford algebras, A geometric invariant of 6-dimensional subspaces of 4×4 matrices

Uses Software

• Mathematica

Cites Work

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• Exotic elliptic algebras of dimension 4. With an appendix by Derek Tomlin
• The one-dimensional line scheme of a certain family of quantum \(\mathbb{P}^3\mathrm{s}\)
• Corrigendum: Generalizations of graded Clifford algebras and of complete intersections
• The Interplay of Algebra and Geometry in the Setting of Regular Algebras
• SCHEMES OF LINE MODULES I
• Embedding a quantum rank three quadric in a quantum P³
• Some quantum P³s with infinitely many points
• SCHEMES OF LINE MODULES. II
• Ideals, Varieties, and Algorithms
• On Koszul algebras and a new construction of Artin-Schelter regular algebras