The Boundedness of Degree of Fano Varieties with Picard Number One

DOI10.2307/2939285zbMath0754.14026OpenAlexW4229646040MaRDI QIDQ3986144

Alan Michael Nadel

Publication date: 27 June 1992

Full work available at URL: https://doi.org/10.2307/2939285

zbMATH Keywords

Fano varietydeformationfirst Chern number

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Fano varieties (14J45) Formal methods and deformations in algebraic geometry (14D15)

Related Items

Connexité rationnelle des variétés de Fano, Strong rigidity of positive quaternion-Kähler manifolds, Unnamed Item, Singularities of linear systems and boundedness of Fano varieties, Bounds for sectional genera of varieties invariant under Pfaff fields, Anticanonical volumes of Fano 4-folds, Higher-Dimensional Geometry from Fano to Mori and Beyond, Lengths of chains of minimal rational curves on Fano manifolds, A bound of lengths of chains of minimal rational curves on Fano manifolds of Picard number 1, Holomorphic and pseudo-holomorphic curves on rationally connected varieties, The fundamental group, rational connectedness and the positivity of Kähler manifolds, On the classification of toric Fano 4-folds, Einstein metrics on five-dimensional Seifert bundles

Cites Work

• Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
• Diophantine approximation on abelian varieties
• Projective manifolds with ample tangent bundles
• Anticanonical models of three-dimensional algebraic varieties
• Classification of Fano 3-folds with \(B_ 2 \geq 2\)
• Riemann-Roch Type Inequalities
• Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• FANO 3-FOLDS. II
• FANO 3-FOLDS. I
• Polarized Varieties with a Given Hilbert Polynomial