A note on the ampleness of numerically positive log canonical and anti-log canonical divisors
| dc.creator | Fukuda, Shigetaka | |
| dc.date | 2003-05-26 | |
| dc.date | 2003-09-02 | |
| dc.date.accessioned | 2026-07-07T04:58:16Z | |
| dc.date.available | 2026-07-07T04:58:16Z | |
| dc.description | In this short note, we consider the conjecture that the log canonical divisor (resp. the anti-log canonical divisor) $K_X + Δ$ (resp. $-(K_X + Δ)$) on a pair $(X, Δ)$ consisting of a complex projective manifold $X$ and a reduced simply normal crossing divisor $Δ$ on $X$ is ample if it is numerically positive. More precisely, we prove the conjecture for $K_X + Δ$ with $Δ\neq 0$ in dimension 4 and for $-(K_X + Δ)$ with $Δ\neq 0$ in dimension 3 or 4. | |
| dc.description | 5 pages, LaTeX2e, the former title ``A note on log canonical divisors" changed | |
| dc.identifier | https://arxiv.org/abs/math/0305357 | |
| dc.identifier | http://arxiv.org/abs/math/0305357 | |
| dc.identifier | Tokyo J. Math. 27 (2004), no. 2, 377--380 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67570 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E30 | |
| dc.title | A note on the ampleness of numerically positive log canonical and anti-log canonical divisors | |
| dc.type | text |