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

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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.
10 pages, LaTeX

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Algebraic Geometry, 14C20(Primary) 14J40, 14J45 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/58952

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0003230
 http://arxiv.org/abs/math/0003230

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arXiv