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June 2014 Simple normal crossing Fano varieties and log Fano manifolds
Kento Fujita
Nagoya Math. J. 214: 95-123 (June 2014). DOI: 10.1215/00277630-2430136

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 (KX+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 rn/2 with ρ(X)2 or rn2. This result is a partial generalization of the classification of logarithmic Fano 3-folds by Maeda.

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Kento Fujita. "Simple normal crossing Fano varieties and log Fano manifolds." Nagoya Math. J. 214 95 - 123, June 2014. https://doi.org/10.1215/00277630-2430136

Information

Published: June 2014
First available in Project Euclid: 24 February 2014

zbMATH: 1297.14047
MathSciNet: MR3211820
Digital Object Identifier: 10.1215/00277630-2430136

Subjects:
Primary: 14J45
Secondary: 14E30

Rights: Copyright © 2014 Editorial Board, Nagoya Mathematical Journal

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Vol.214 • June 2014
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