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arXiv · 1507.08527

Fano manifolds of index n-2 and the cone conjecture

Izzet Coskun·Artie Prendergast-Smith
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Abstract

The Morrison--Kawamata Cone Conjecture predicts that the action of the automorphism group on the effective nef cone and the action of the pseudo-automorphism group on the effective movable cone of a klt Calabi-Yau pair have rational, polyhedral fundamental domains. In a previous paper, we proved the conjecture for certain blowups of Fano manifolds of index n-1. In this paper, we consider the Morrison--Kawamata conjecture for blowups of Fano manifolds of index n-2.

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Izzet Coskun, Artie Prendergast-Smith. 2015-07-30. Fano manifolds of index n-2 and the cone conjecture. https://arxiv.org/abs/1507.08527

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