FANO MANIFOLDS OF INDEX n− 1 AND THE CONE CONJECTURE
نویسنده
چکیده
The Morrison-Kawamata cone conjecture predicts that the actions of the automorphism group on the effective nef cone and the pseudo-automorphism group on the effective movable cone of a klt Calabi-Yau pair (X,∆) have finite, rational polyhedral fundamental domains. Let Z be an n-dimensional Fano manifold of index n − 1 such that −KZ = (n − 1)H for an ample divisor H. Let Γ be the base locus of a general (n− 1)-dimensional linear system V ⊂ |H|. In this paper, we verify the Morrison-Kawamata cone conjecture for the blow-up of Z along Γ.
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