On the Kleiman-Mori cone
| dc.creator | Fujino, Osamu | |
| dc.date | 2005-01-05 | |
| dc.date.accessioned | 2026-07-07T05:15:49Z | |
| dc.date.available | 2026-07-07T05:15:49Z | |
| dc.description | The Kleiman-Mori cone plays important roles in the birational geometry. In this paper, we construct complete varieties whose Kleiman-Mori cones have interesting properties. First, we construct a simple and explicit example of complete non-projective singular varieties for which Kleiman's ampleness criterion does not hold. More precisely, we construct a complete non-projective toric variety $X$ and a line bundle $L$ on $X$ such that $L$ is positive on $\bar {NE}(X)\setminus \{0\}$. Next, we construct complete singular varieties $X$ with $NE(X)=N_1(X)\simeq \mathbb R^k$ for any $k$. These explicit examples seem to be missing in the literature. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0501055 | |
| dc.identifier | http://arxiv.org/abs/math/0501055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73764 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14M25; 14E30 | |
| dc.title | On the Kleiman-Mori cone | |
| dc.type | text |