Noncommutative ampleness for multiple divisors

DOI10.1016/S0021-8693(03)00126-1zbMath1030.16014arXivmath/0210417MaRDI QIDQ1398181

Dennis S. Keeler

Publication date: 29 July 2003

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

Full work available at URL: https://arxiv.org/abs/math/0210417

zbMATH Keywords

tensor productsGelfand-Kirillov dimensionRees ringsvanishing theoremscoordinate ringsamplenessNoetherian graded ringsinvertible sheavesprojective schemesinvertible bimodules

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Growth rate, Gelfand-Kirillov dimension (16P90) Vanishing theorems in algebraic geometry (14F17) Graded rings and modules (associative rings and algebras) (16W50) Divisors, linear systems, invertible sheaves (14C20) Automorphisms of surfaces and higher-dimensional varieties (14J50) Schemes and morphisms (14A15)

Related Items (2)

Ample filters and Frobenius amplitude ⋮ Geometric idealizer rings

Cites Work

• Twisted homogeneous coordinate rings
• Noncommutative projective schemes
• Ample filters of invertible sheaves.
• Noncommutative graded domains with quadratic growth
• Artin-Schelter regular algebras of global dimension three
• Twisted multi-homogeneous coordinate rings
• Toward a numerical theory of ampleness
• Gelfand-Kirillov dimension of multi-filtered algebras
• Algebras associated to elliptic curves
• Criteria for $\sigma $-ampleness
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