2000/03/31 by Yasuyuki Kachi, Kachi, Yasuyuki, János Kollár +1
Mathematics · #14C20(Primary) 14J40 #14J45 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J40 #msc:14J45
paper · pdf · doi:10.48550/arxiv.math/0003230
10 pages, LaTeX
arxiv created 2000/03/31 · arxiv updated 2009/11/30
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.