Fano manifolds of index n-2 and the cone conjecture
journal contribution
posted on 2017-04-12, 10:30 authored by Izzet Coskun, Artie PrendergastArtie PrendergastThe 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 ProceedingsCitation
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 SocietyVersion
- AM (Accepted Manuscript)
Acceptance date
2017-03-17Publication date
2019Notes
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
1469-8064Publisher version
Language
- en
