THE CONE OF CURVES OF FANO VARIETIES OF COINDEX FOUR

DOI10.1142/S0129167X06003850zbMath1111.14037arXivmath/0401429MaRDI QIDQ3421593

Gianluca Occhetta, Elena Chierici

Publication date: 7 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0401429

zbMATH Keywords

rational curvesFano varietiesMori theory

Mathematics Subject Classification ID

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

Related Items (11)

On covering and quasi-unsplit families of curves ⋮ Classification of Mukai pairs with corank $3$ ⋮ Unnamed Item ⋮ A conjecture of Mukai relating numerical invariants of Fano manifolds ⋮ On Fano manifolds of large pseudoindex ⋮ A note on the classification of Fano manifolds of middle index ⋮ Projective manifolds containing a large linear subspace with nef normal bundle ⋮ Positivity of the second exterior power of the tangent bundles ⋮ Fano fivefolds of index two with blow-up structure ⋮ Classification of Mukai pairs with dimension $4$ and rank $2$ ⋮ Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle

Cites Work

• On a conjecture of Mukai
• On the structure of polarized manifolds with total deficiency one. II
• Rational connectedness and boundedness of Fano manifolds
• Generalized Mukai conjecture for special Fano varieties
• Fano manifolds with long extremal rays
• On the inverse of monoidal transformation
• On Fano manifolds, which are P^K-bundles over P²
• A Characterization of Products of Projective Spaces
• Some Special Cremona Transformations
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• Special rays in the Mori cone of a projective variety
• Connexité rationnelle des variétés de Fano

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