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arXiv · 1206.1994

Simple normal crossing Fano varieties and log Fano manifolds

Kento Fujita
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Abstract

A projective log variety (X, D) is called "a log Fano manifold" if X is smooth and if D is a reduced simple normal crossing divisor on X with -(K_X+D) ample. The n-dimensional log Fano manifolds (X, D) with nonzero D are classified in this article when the log Fano index r of (X, D) satisfies either r\geq n/2 with \rho(X)\geq 2 or r\geq n-2. This result is a partial generalization of the classification of logarithmic Fano threefolds by Maeda.

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Kento Fujita. 2012-06-10. Simple normal crossing Fano varieties and log Fano manifolds. https://doi.org/10.1215/00277630-2430136

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