Some projective surfaces of GK-dimension 4
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Publication:3143227
DOI10.1112/S0010437X12000188zbMath1262.16024arXiv1101.0737OpenAlexW3100370356MaRDI QIDQ3143227
Susan J. Sierra, Daniel Rogalski
Publication date: 29 November 2012
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.0737
Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Growth rate, Gelfand-Kirillov dimension (16P90) Graded rings and modules (associative rings and algebras) (16W50)
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Prime ideals in algebras determined by submonoids of nilpotent groups ⋮ Krull orders in nilpotent groups. ⋮ Naïve blowups and canonical birationally commutative factors ⋮ Noetherian Semigroup Algebras and Beyond ⋮ Noncommutative complete intersections ⋮ Gorenstein Dimension and AS-Gorenstein Algebras ⋮ Krull orders in nilpotent groups: corrigendum and addendum.
Cites Work
- Geometric algebras on projective surfaces
- Twisted homogeneous coordinate rings
- The diamond lemma for ring theory
- Existence theorems for dualizing complexes over non-commutative graded and filtered rings
- Noetherian connected graded algebras of global dimension 3
- Naïve noncommutative blowing up
- Generic noncommutative surfaces.
- A translation principle for the four-dimensional Sklyanin algebras
- Naïve noncommutative blowups at zero-dimensional schemes
- Noncommutative curves and noncommutative surfaces
- Dynamics of bimeromorphic maps of surfaces
- Classifying birationally commutative projective surfaces
- Geometric idealizer rings
- GK-dimension of birationally commutative surfaces
- The finite simple groups with at most two fusion classes of every order
- A class of noncommutative projective surfaces
- HOMOLOGICAL TRANSCENDENCE DEGREE
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