Characterizations of ${\mathbb P}^n$ in arbitrary characteristic
| dc.creator | Kachi, Yasuyuki | |
| dc.creator | Kollár, János | |
| dc.date | 2000-03-31 | |
| dc.date.accessioned | 2026-07-07T04:34:34Z | |
| dc.date.available | 2026-07-07T04:34:34Z | |
| dc.description | We prove that a smooth projective variety of dimension n is isomorphic to projective n-space iff the canonical class is -(n+1)-times an ample divisor. In characteristic zero this was proved by Kobayashi-Ochiai. We also extend the second adjunction theorem of Ionescu and Fujita to arbitrary characteristic. | |
| dc.description | 10 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0003230 | |
| dc.identifier | http://arxiv.org/abs/math/0003230 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58952 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C20(Primary) 14J40, 14J45 (Secondary) | |
| dc.title | Characterizations of ${\mathbb P}^n$ in arbitrary characteristic | |
| dc.type | text |