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Fano manifolds of index n-2 and the cone conjecture

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journal contribution
posted on 2017-04-12, 10:30 authored by Izzet Coskun, Artie PrendergastArtie Prendergast
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.

Funding

Coskun was partially supported by the NSF CAREER grant DMS-0950951535. Prendergast-Smith was partially supported by EPSRC First Grant EP/L026570/1.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Cambridge Philosophical Society: Mathematical Proceedings

Citation

COSKUN, I. and PRENDERGAST-SMITH, A., 2019. Fano manifolds of index n-2 and the cone conjecture. Mathematical Proceedings of the Cambridge Philosophical Society, 166(1), pp. 1-31.

Publisher

© Cambridge Philosophical Society

Version

  • AM (Accepted Manuscript)

Acceptance date

2017-03-17

Publication date

2019

Notes

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.

ISSN

1469-8064

Language

  • en

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