Noncommutative ampleness for multiple divisors
| dc.creator | Keeler, Dennis S. | |
| dc.date | 2002-10-27 | |
| dc.date | 2002-11-11 | |
| dc.date.accessioned | 2026-07-07T04:52:24Z | |
| dc.date.available | 2026-07-07T04:52:24Z | |
| dc.description | The twisted homogeneous coordinate ring is one of the basic constructions of the noncommutative projective geometry of Artin, Van den Bergh, and others. Chan generalized this construction to the multi-homogeneous case, using a concept of right ampleness for a finite collection of invertible sheaves and automorphisms of a projective scheme. From this he derives that certain multi-homogeneous rings, such as tensor products of twisted homogeneous coordinate rings, are right noetherian. We show that right and left ampleness are equivalent and that there is a simple criterion for such ampleness. Thus we find under natural hypotheses that multi-homogeneous coordinate rings are noetherian and have integer GK-dimension. | |
| dc.description | 11 pages, LaTeX, minor corrections, to appear in J. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0210417 | |
| dc.identifier | http://arxiv.org/abs/math/0210417 | |
| dc.identifier | J. Algebra 265 (2003), no. 1, 299--311. | |
| dc.identifier | doi:10.1016/S0021-8693(03)00126-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65449 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | 14A22, 16S38 (Primary); 14F17 (Secondary) | |
| dc.title | Noncommutative ampleness for multiple divisors | |
| dc.type | text |