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Title: Fano manifolds of index n-1 and the cone conjecture
Authors: Coskun, Izzet
Prendergast-Smith, Artie
Issue Date: 2014
Publisher: Oxford University Press / © The Authors
Citation: COSKUN, I. and PRENDERGAST-SMITH, A., 2014. Fano manifolds of index n-1 and the cone conjecture. International Mathematics Research Notices, (9), pp.2401-2439
Abstract: The Morrison-Kawamata cone conjecture predicts that the actions of the automorphism group on the effective nef cone and the pseudo-automorphism group on the effective movable cone of a klt Calabi-Yau pair (X,Δ) have finite, rational polyhedral fundamental domains. Let Z be an n-dimensional Fano manifold of index n-1 such that -KZ=(n-1)H for an ample divisor H. Let Γ be the base locus of a general (n-1)-dimensional linear system V ⊂/H/. In this paper, we verify the Morrison-Kawamata cone conjecture for the blowup of Z along Γ. © 2013 The Author(s). Published by Oxford University Press. All rights reserved.
Description: This is a pre-copyedited, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record is available online at: http://dx.doi.org/10.1093/imrn/rns297
Sponsor: During the preparation of this article the first author was partially supported by the NSF CAREER grant DMS-0950951535, and an Alfred P. Sloan Foundation Fellowship.
Version: Accepted for publication
DOI: 10.1093/imrn/rns297
URI: https://dspace.lboro.ac.uk/2134/18242
Publisher Link: http://dx.doi.org/10.1093/imrn/rns297
ISSN: 1073-7928
Appears in Collections:Published Articles (Maths)

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