Generic noncommutative surfaces.

DOI10.1016/S0001-8708(03)00147-6zbMath1068.16038arXivmath/0203180OpenAlexW2063751318MaRDI QIDQ1826888

Daniel Rogalski

Publication date: 6 August 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203180

zbMATH Keywords

graded algebrascoordinate ringsnoncommutative projective geometryNoetherian graded ringsstrongly Noetherian rings

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Graded rings and modules (associative rings and algebras) (16W50) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (16)

Idealizer rings and noncommutative projective geometry ⋮ The noncommutative schemes of generalized Weyl algebras ⋮ Sklyanin algebras and Hilbert schemes of points ⋮ Noetherian algebras over algebraically closed fields. ⋮ Geometric algebras on projective surfaces ⋮ Blowup subalgebras of the Sklyanin algebra ⋮ The universal enveloping algebra of the Witt algebra is not Noetherian ⋮ Canonical maps to twisted rings. ⋮ Naïve noncommutative blowing up ⋮ ℤ-graded simple rings ⋮ Noetherian algebras of quantum differential operators. ⋮ Naïve blowups and canonical birationally commutative factors ⋮ Geometric idealizer rings ⋮ Idealisers in skew group rings ⋮ Linear equations over noncommutative graded rings. ⋮ Some projective surfaces of GK-dimension 4

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