Characterizations of ${\mathbb P}^n$ in arbitrary characteristic

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58952We 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.10 pages, LaTeXAlgebraic Geometry14C20(Primary) 14J40, 14J45 (Secondary)Characterizations of ${\mathbb P}^n$ in arbitrary characteristictext