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THE DIXMIERMOEGLIN EQUIVALENCE FOR TWISTED HOMOGENEOUS COORDINATE RINGS
, 2008
"... Given a projective scheme X over a field k, an automorphism σ: X → X, and a σample invertible sheaf L, one may form the twisted homogeneous coordinate ring B = B(X, L, σ), one of the most fundamental constructions in noncommutative projective algebraic geometry. We study the primitive spectrum of ..."
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Given a projective scheme X over a field k, an automorphism σ: X → X, and a σample invertible sheaf L, one may form the twisted homogeneous coordinate ring B = B(X, L, σ), one of the most fundamental constructions in noncommutative projective algebraic geometry. We study the primitive spectrum of B, as well as that of other closely related algebras such as skew and skewLaurent extensions of commutative algebras. Over an algebraically closed, uncountable field k of characteristic zero, we prove that that the primitive ideals of B are characterized by the usual DixmierMoeglin conditions whenever dim X ≤ 2.
Classifying birationally commutative projective surfaces
 Proceedings of the LMS 103
, 2011
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Edinburgh Research Explorer
"... The DixmierMoeglin equivalence for twisted homogeneous coordinate rings Citation for published version: ..."
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The DixmierMoeglin equivalence for twisted homogeneous coordinate rings Citation for published version: