ACM vector bundles on prime Fano threefolds and complete intersection Calabi Yau threefolds
| dc.creator | Madonna, C. G. | |
| dc.date | 2001-03-02 | |
| dc.date.accessioned | 2026-07-07T09:25:42Z | |
| dc.date.available | 2026-07-07T09:25:42Z | |
| dc.description | In this paper we derive a list of all the possible indecomposable normalized rank--two vector bundles without intermediate cohomology on the prime Fano threefolds and on the complete intersection Calabi Yau threefolds, say $V$, of Picard number $ρ=1$. For any such bundle $\E$, if it exists, we find the projective invariants of the curves $C \subset V$ which are the zero-locus of general global sections of $\E$. In turn, a curve $C \subset V$ with such invariants is a section of a bundle $\E$ from our lists. This way we reduce the problem for existence of such bundles on $V$ to the problem for existence of curves with prescribed properties contained in $V$. In part of the cases in our lists the existence of such curves on the general $V$ is known, and we state the question about the existence on the general $V$ of any type of curves from the lists. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0103010 | |
| dc.identifier | http://arxiv.org/abs/math/0103010 | |
| dc.identifier | Rev. Roumaine Math. Pures Appl. 47 (2002), no. 2, 211-222 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156495 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05 | |
| dc.title | ACM vector bundles on prime Fano threefolds and complete intersection Calabi Yau threefolds | |
| dc.type | text |