The cone of curves of Fano varieties of coindex four

Abstract

We classify the cones of curves of Fano varieties of dimension greater or equal than five and (pseudo)index dim X -3, describing the number and type of their extremal rays.

27 pages; changed the numbering of Theorems, Definitions, Propositions, etc. in accordance with the published version to avoid incorrect references

References in corpus (2)

• Existence of good divisors on Mukai varieties
• On Contractions of smooth varieties

Cited by in corpus (8)

• Ruled Fano fivefolds of index two
• Projective manifolds containing a large linear subspace with nef normal bundle
• Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle
• Fano fivefolds of index two with blow-up structure
• Manifolds covered by lines and extremal rays
• Classification of Mukai pairs with corank $3$
• Positivity of the second exterior power of the tangent bundles
• Classification of Mukai pairs with dimension $4$ and rank $2$