On Stable Bundles of Ranks 2 and 3 on P^3
| dc.creator | Vitter, Al | |
| dc.date | 2003-10-06 | |
| dc.date.accessioned | 2026-07-07T05:01:39Z | |
| dc.date.available | 2026-07-07T05:01:39Z | |
| dc.description | We study rank 3 stable bundles E on P^3 as extensions of a line bundle B on a smooth surface S in P^3 by the direct sum of three copies of O_{P^3}(-ν). In most cases, S (the dependency locus of three sections of E(ν)) lies in the Noether-Lefschetz locus. We give a detailed analysis when S contains a line L and B is constructed from divisors of the form aL+bC for H=L+C a hyperplane section of S. We study the parameter space of this construction and compare it to the full (Gieseker-Maruyama) moduli space. We also analyse the case when B is a power of the hyperplane bundle. The same approach is used to study rank 2 bundles on P^3. | |
| dc.description | 35 pages,AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0310073 | |
| dc.identifier | http://arxiv.org/abs/math/0310073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68755 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60; 14F05 | |
| dc.title | On Stable Bundles of Ranks 2 and 3 on P^3 | |
| dc.type | text |