Points on quantum projectivizations

DOI10.1090/memo/0795zbMath1050.14003arXiv0903.0352OpenAlexW2076152711MaRDI QIDQ4458915

Adam Nyman

Publication date: 14 March 2004

Published in: Journal of Algebra, Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0352

zbMATH Keywords

noncommutative geometrygeometric invariantsnoncommutative ruled surfacepoint modulenoncommutative algebraic geometrybimodule Segre embeddingflat families of truncated point-modulesnoncommutative projective bundle

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Nonabelian homological algebra (category-theoretic aspects) (18G50) Fibered categories (18D30) Bimodules in associative algebras (16D20)

Related Items

Serre duality for non-commutative ${\mathbb {P}}^{1}$-bundles, Serre finiteness and Serre vanishing for non-commutative \(\mathbb P^1\)-bundles, Frobenius bimodules between noncommutative spaces., Intersection theory over quantum ruled surfaces, The Grothendieck group of a quantum projective space bundle, Points on quantum projectivizations, Non-commutative $\mathbb{P}^{1}$-bundles over commutative schemes

Cites Work

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• Twisted homogeneous coordinate rings
• The Grothendieck group of a quantum projective space bundle
• A translation principle for the four-dimensional Sklyanin algebras
• Non-commutative $\mathbb{P}^{1}$-bundles over commutative schemes
• Points on quantum projectivizations