Log Canonical Thresholds and Generalized Eckardt Points
| dc.creator | Cheltsov, Ivan | |
| dc.creator | Park, Jihun | |
| dc.date | 2000-03-20 | |
| dc.date | 2001-03-23 | |
| dc.date.accessioned | 2026-07-07T04:34:22Z | |
| dc.date.available | 2026-07-07T04:34:22Z | |
| dc.description | Let $X$ be a smooth hypersurface of degree $n\geq 3$ in $\mathbb{P}^n$. We prove that the log canonical threshold of $H\in|-K_X|$ is at least $\frac{n-1}{n}$. Under the assumption of the Log minimal model program, we also prove that a hyperplane section $H$ of $X$ is a cone in $\mathbb{P}^{n-1}$ over a smooth hypersurface of degree $n$ in $\mathbb{P}^{n-2}$ if and only if the log canonical threshold of $H$ is $\frac{n-1}{n}$. | |
| dc.description | Extended version, 14 pages, latex | |
| dc.identifier | https://arxiv.org/abs/math/0003121 | |
| dc.identifier | http://arxiv.org/abs/math/0003121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58876 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J45, 14J70, 14E30 | |
| dc.title | Log Canonical Thresholds and Generalized Eckardt Points | |
| dc.type | text |