Simple normal crossing Fano varieties and log Fano manifolds

DOI10.1215/00277630-2430136zbMath1297.14047arXiv1206.1994OpenAlexW1993824947MaRDI QIDQ5169719

Kento Fujita

Publication date: 11 July 2014

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1994

zbMATH Keywords

log Fano manifoldsimple normal crossing Fano variety

Mathematics Subject Classification ID

Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (6)

K-polystability of 3-dimensional log Fano pairs of Maeda type ⋮ Asymptotically log Fano varieties ⋮ The Mukai conjecture for log Fano manifolds ⋮ \(d\)-semistable Calabi-Yau threefolds of type III ⋮ Maximal log Fano manifolds are generalized Bott towers ⋮ Fano manifolds with many free divisors

Cites Work

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• Two theorems on elementary contractions
• A note on nonvanishing and applications
• Characterizations of complex projective spaces and hyperquadrics
• Some remarks on the minimal model program for log canonical pairs
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• On contractions of extremal rays of Fano manifolds.
• Rational curves and bounds on the Picard number of Fano manifolds

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