On the value-semigroup of a simple complete ideal in a two-dimensional regular local ring
| dc.creator | Greco, S. | |
| dc.creator | Kiyek, K. | |
| dc.date | 2007-12-28 | |
| dc.date.accessioned | 2026-07-07T08:51:34Z | |
| dc.date.available | 2026-07-07T08:51:34Z | |
| dc.description | Let R be a two-dimensional regular local ring with maximal ideal \mathfrak m, and let \wp be a simple complete \mathfrak m-primary ideal which is residually rational. Let R_0:= R\subsetneqq ...\subsetneqq R_r be the quadratic sequence associated to \wp, let Γ_\wp be the value-semigroup associated to \wp, and let ((e_j(\wp))_{0\leq j\leq r} be the multiplicity sequence of \wp. We associate to \wp a sequence of natural integers, the formal characteristic sequence of \wp, and we show that the value-semigroup, the multiplicity sequence and the formal characteristic sequence are equivalent data. Furthermore, we give a new proof that Γ_\wp is symmetric, and give a formula for c_\wp, the conductor of Γ_\wp, in terms of entries of the Hamburger-Noether tableau of \wp. | |
| dc.description | Latex, 7 pages | |
| dc.identifier | https://arxiv.org/abs/0712.4329 | |
| dc.identifier | http://arxiv.org/abs/0712.4329 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144980 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H10 (Primary) 13A18 (Secondary) | |
| dc.title | On the value-semigroup of a simple complete ideal in a two-dimensional regular local ring | |
| dc.type | text |