Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one

DOI10.1142/S0129167X20500664zbMath1449.14009arXiv1905.07752MaRDI QIDQ5130961

Jie Liu

Publication date: 31 October 2020

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

Full work available at URL: https://arxiv.org/abs/1905.07752

zbMATH Keywords

Mori theoryextremal contractionFano manifoldsrational homogeneous spaces

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (1)

Corrigendum to “Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one”

Cites Work

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• On Fano manifolds with a birational contraction sending a divisor to a curve
• Classification of Fano manifolds containing a negative divisor isomorphic to projective space
• Classification of polarized manifolds admitting homogeneous varieties as ample divisors
• Classification of Fano 3-folds with \(B_ 2 \geq 2\)
• Extensions of projective varieties and deformations. II
• Holomorphic maps from rational homogeneous spaces of Picard number 1 onto projective manifolds
• Complex manifolds whose blow-up at a point is Fano
• Classification of irreducible holonomies of torsion-free affine connections
• Locally Unsplit Families of Rational Curves of Large Anticanonical Degree on Fano Manifolds
• On contractions of extremal rays of Fano manifolds.

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