Twisted multi-homogeneous coordinate rings

DOI10.1006/jabr.1999.7938zbMath0957.14003OpenAlexW2087768020MaRDI QIDQ1970960

Chan, Daniel

Publication date: 20 March 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7938

zbMATH Keywords

Rees algebraascending chain conditionnon-commutative algebraic geometryquasi-coherent sheavesprojective schemeinvertible bimodulehomogeneous coordinate ringsgraded modules modulo torsion submodulesmulti-homogeneous coordinate ring

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Commutative Noetherian rings and modules (13E05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (7)

Noncommutative ampleness for multiple divisors ⋮ Noncommutative holomorphic functional calculus, affine and projective spaces from $\operatorname {NC}$-complete algebras ⋮ Ample filters and Frobenius amplitude ⋮ Hilbert schemes and noncommutative deformations of type A Kleinian singularities ⋮ Noncommutative cyclic covers and maximal orders on surfaces ⋮ ``Classical flag varieties for quantum groups: the standard quantum \(\text{SL}(n,{\mathbb C})\). ⋮ Ample filters of invertible sheaves.

Cites Work

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• Twisted homogeneous coordinate rings
• Faisceaux algébriques cohérents
• The diamond lemma for ring theory
• A translation principle for the four-dimensional Sklyanin algebras

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