Nonrational del Pezzo fibrations
| dc.creator | Cheltsov, Ivan | |
| dc.date | 2004-07-20 | |
| dc.date | 2007-09-03 | |
| dc.date.accessioned | 2026-07-07T08:26:59Z | |
| dc.date.available | 2026-07-07T08:26:59Z | |
| dc.description | Let $X$ be a general divisor in $|3M+nL|$ on the rational scroll $\mathrm{Proj}(\oplus_{i=1}^{4}\mathcal{O}_{\mathbb{P}^{1}}(d_{i}))$, where $d_{i}$ and $n$ are integers, $M$ is the tautological line bundle, $L$ is a fibre of the natural projection to $\mathbb{P}^{1}$, and $d_{1}\geqslant...\geqslant d_{4}=0$. We prove that $X$ is rational $\iff$ $d_{1}=0$ and $n=1$. | |
| dc.description | 8 pages, short version, to appear in Advances in Geometry | |
| dc.identifier | https://arxiv.org/abs/math/0407343 | |
| dc.identifier | http://arxiv.org/abs/math/0407343 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137132 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E08, 14J30 | |
| dc.title | Nonrational del Pezzo fibrations | |
| dc.type | text |