Regularity bounds for curves by minimal generators and Hilbert function
| dc.creator | Cioffi, Francesca | |
| dc.creator | Marinari, Maria Grazia | |
| dc.creator | Ramella, Luciana | |
| dc.date | 2005-07-28 | |
| dc.date | 2006-02-02 | |
| dc.date.accessioned | 2026-07-07T06:42:42Z | |
| dc.date.available | 2026-07-07T06:42:42Z | |
| dc.description | Let $ρ_C$ be the regularity of the Hilbert function of a projective curve $C$ in $\mathbb P^n_K$ over an algebraically closed field $K$ and $α_1,...,α_{n-1}$ be minimal degrees for which there exists a complete intersection of type $(α_1,...,α_{n-1})$ containing the curve $C$. Then the Castelnuovo-Mumford regularity of $C$ is upper bounded by $\max\{ρ_C+1,α_1+...+α_{n-1}-(n-2)\}$. We study and, for space curves, refine the above bound providing several examples. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0507583 | |
| dc.identifier | http://arxiv.org/abs/math/0507583 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102141 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14F17; 14H50 | |
| dc.title | Regularity bounds for curves by minimal generators and Hilbert function | |
| dc.type | text |