Simple normal crossing Fano varieties and log Fano manifolds
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AbstractA 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 Χ with − (KΧ + 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 ≥ n/2 with ρ(X) ≥ 2 or r ≥ n − 2. This result is a partial generalization of the classification of logarithmic Fano 3-folds by Maeda.
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2018 ◽
Vol 275
(2)
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pp. 300-328
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2019 ◽
Vol 30
(06)
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pp. 1950032
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2021 ◽
Vol 477
(2254)
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