Toric varieties whose blow-up at a point is Fano
| dc.creator | Bonavero, Laurent | |
| dc.date | 2000-12-22 | |
| dc.date | 2001-08-28 | |
| dc.date.accessioned | 2026-07-07T04:39:23Z | |
| dc.date.available | 2026-07-07T04:39:23Z | |
| dc.description | We classify smooth toric Fano varieties of dimension $n\geq 3$ containing a toric divisor isomorphic to $\PP^{n-1}$. As a consequence of this classification, we show that any smooth complete toric variety $X$ of dimension $n\geq 3$ with a $T$-fixed point $x\in X$ such that the blow-up $B_x(X)$ of $X$ at $x$ is Fano is isomorphic either to $\PP^n$ or to the blow-up of $\PP^n$ along a $\PP^{n-2}$. As expected, such results are proved using toric Mori theory due to Reid. | |
| dc.description | 5 pages, no figures. Some mistakes corrected, improvements of presentation | |
| dc.identifier | https://arxiv.org/abs/math/0012229 | |
| dc.identifier | http://arxiv.org/abs/math/0012229 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60641 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E30, 14J45, 14M25 | |
| dc.title | Toric varieties whose blow-up at a point is Fano | |
| dc.type | text |