Fano manifolds with many free divisors

DOI10.1007/s40879-022-00559-zzbMath1502.14094OpenAlexW4285800234MaRDI QIDQ2087694

Kento Fujita

Publication date: 21 October 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-022-00559-z

zbMATH Keywords

Fano manifoldMukai conjectureextremal raymultiprojective space

Mathematics Subject Classification ID

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

Cites Work

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• Around the Mukai conjecture for Fano manifolds
• On a conjecture of Mukai
• On Fano manifolds of large index
• Two theorems on elementary contractions
• A note on nonvanishing and applications
• On a conjecture of Mukai.
• Generalized Mukai conjecture for special Fano varieties
• The Mukai conjecture for log Fano manifolds
• Characterizations of complex projective spaces and hyperquadrics
• On the Picard number of divisors in Fano manifolds
• Simple normal crossing Fano varieties and log Fano manifolds
• On contractions of extremal rays of Fano manifolds.
• Threefolds whose canonical bundles are not numerically effective
• Rational curves and bounds on the Picard number of Fano manifolds

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