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Fano manifolds of index n − 2 and the cone conjecture

Research paper by IZZET COSKUN, ARTIE PRENDERGAST-SMITH

Indexed on: 23 Dec '18Published on: 01 Jan '19Published in: Mathematical Proceedings of the Cambridge Philosophical Society



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 [CPS], 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.