Projectively simple rings.

DOI10.1016/j.aim.2005.04.013zbMath1120.16040arXivmath/0401098OpenAlexW2029121042WikidataQ117378741 ScholiaQ117378741MaRDI QIDQ2497324

Daniel Rogalski, James J. Zhang, Zinovy Reichstein

Publication date: 4 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0401098

zbMATH Keywords

Abelian varietiesgraded algebrasample line bundlesGelfand-Kirillov dimensionArtin-Schelter regular algebrastwisted homogeneous coordinate ringsnoncommutative projective algebraic geometryprojectively simple rings

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Growth rate, Gelfand-Kirillov dimension (16P90) Graded rings and modules (associative rings and algebras) (16W50) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (22)

Just infinite alternative algebras ⋮ Cocycle twists of 4-dimensional Sklyanin algebras ⋮ A Few Properties of Just Infinite Algebras ⋮ Algebras in which every subalgebra is noetherian ⋮ Blowup subalgebras of the Sklyanin algebra ⋮ A conjecture strengthening the Zariski dense orbit problem for birational maps of dynamical degree one ⋮ Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations ⋮ Wild automorphisms of compact complex spaces of lower dimensions ⋮ Wild automorphisms of varieties with Kodaira dimension \(0\) ⋮ Representation theory of three-dimensional Sklyanin algebras ⋮ Rigidity of graded regular algebras ⋮ Nearly finite-dimensional Jordan algebras ⋮ Automorphisms of compact Kähler manifolds with slow dynamics ⋮ Cohomological Conditions on Endomorphisms of Projective Varieties ⋮ Locally finite Leavitt path algebras. ⋮ Herstein's construction for just infinite superalgebras ⋮ Stably just infinite rings. ⋮ Canonical maps to twisted rings. ⋮ Nakayama automorphism and rigidity of dual reflection group coactions ⋮ Naïve noncommutative blowing up ⋮ ℤ-graded simple rings ⋮ Wild automorphisms of projective varieties, the maps which have no invariant proper subsets

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