Fano manifolds of index n-2 and the cone conjecture
Algebraic Geometry
2015-07-31 v1
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.
Keywords
Cite
@article{arxiv.1507.08527,
title = {Fano manifolds of index n-2 and the cone conjecture},
author = {Izzet Coskun and Artie Prendergast-Smith},
journal= {arXiv preprint arXiv:1507.08527},
year = {2015}
}