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Title: Fano manifolds of index n-2 and the cone conjecture
Authors: Coskun, Izzet
Prendergast-Smith, Artie
Issue Date: 2017
Publisher: © Cambridge Philosophical Society
Citation: COSKUN, I. and PRENDERGAST-SMITH, A., 2017. Fano manifolds of index n-2 and the cone conjecture. Mathematical Proceedings of the Cambridge Philosophical Society, in press.
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.
Description: This article has been published in a revised form in Mathematical Proceedings of the Cambridge Philosophical Society https://doi.org/10.1017/S0305004117000676. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © copyright holder.
Sponsor: Coskun was partially supported by the NSF CAREER grant DMS-0950951535. Prendergast-Smith was partially supported by EPSRC First Grant EP/L026570/1.
Version: Accepted for publication
DOI: 10.1017/S0305004117000676
URI: https://dspace.lboro.ac.uk/2134/24705
Publisher Link: https://doi.org/10.1017/S0305004117000676
ISSN: 1469-8064
Appears in Collections:Published Articles (Maths)

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