Characterizations of ${\mathbb P}^n$ in arbitrary characteristic
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0003230,
title = {Characterizations of ${\mathbb P}^n$ in arbitrary characteristic},
author = {Yasuyuki Kachi and János Kollár},
journal= {arXiv preprint arXiv:math/0003230},
year = {2007}
}
Comments
10 pages, LaTeX