Construction de familles minimales de courbes gauches
| dc.creator | Hartshorne, Robin | |
| dc.creator | Martin-Deschamps, Mireille | |
| dc.creator | Perrin, Daniel | |
| dc.date | 1997-11-06 | |
| dc.date.accessioned | 2026-07-07T01:51:15Z | |
| dc.date.available | 2026-07-07T01:51:15Z | |
| dc.description | Let $A$ be a local noetherian ring and $N$ be a locally sheaf on the projective space $P^3_A$ : one proves easily that there exists a family $C$ of (smooth connected) curves contained in $P^3_A$, flat over $A$, and an integer $h$ such that the ideal sheaf $J$ of $C$ has a resolution $0\to P\to N\to J\to 0$ where $P$ is a direct sum of invertible sheaves $O_P(-n_i)$. In this paper we determine, for a given sheaf $N$, all the families of curves with such a resolution, especially the minimal ones (corresponding to the minimum value of $h$). It gives a description of the biliaison class related to $N$, and a tool for constructing families of space curves. | |
| dc.description | 17 pages TeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9711007 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9711007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/254 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Construction de familles minimales de courbes gauches | |
| dc.type | text |