Birational geometry of Fano double spaces of index two
| dc.creator | Pukhlikov, Aleksandr | |
| dc.date | 2008-12-19 | |
| dc.date | 2009-05-22 | |
| dc.date.accessioned | 2026-07-07T13:16:59Z | |
| dc.date.available | 2026-07-07T13:16:59Z | |
| dc.description | We study birational geometry of Fano varieties, realized as double covers $σ\colon V\to {\mathbb P}^M$, $M\geq 5$, branched over generic hypersurfaces $W=W_{2(M-1)}$ of degree $2(M-1)$. We prove that the only structures of a rationally connected fiber space on $V$ are the pencils-subsystems of the free linear system $|-\frac12 K_V|$. The groups of birational and biregular self-maps of the variety $V$ coincide. | |
| dc.description | LaTeX, 77 pages | |
| dc.identifier | https://arxiv.org/abs/0812.3863 | |
| dc.identifier | http://arxiv.org/abs/0812.3863 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230970 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E05 | |
| dc.title | Birational geometry of Fano double spaces of index two | |
| dc.type | text |