The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings
| dc.creator | Bell, J. | |
| dc.creator | Rogalski, D. | |
| dc.creator | Sierra, S. J. | |
| dc.date | 2008-12-17 | |
| dc.date.accessioned | 2026-07-07T12:16:17Z | |
| dc.date.available | 2026-07-07T12:16:17Z | |
| dc.description | Given a projective scheme $X$ over a field $k$, an automorphism $σ$ of $X$, and a $σ$-ample 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 skew-Laurent 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 Dixmier-Moeglin conditions whenever the dimension of $X$ is no more than 2. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/0812.3355 | |
| dc.identifier | http://arxiv.org/abs/0812.3355 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211754 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14A22, 14J50, 16D60, 16S36, 16S38, 16W50 | |
| dc.title | The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings | |
| dc.type | text |