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arXiv:math/0003230 [math.AG]AbstractReferencesReviewsResources

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

Yasuyuki Kachi, János Kollár

Published 2000-03-31Version 1

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.

Comments: 10 pages, LaTeX
Categories: math.AG
Subjects: 14C20, 14J40, 14J45
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