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Fano manifolds of indexn− 2 and the cone conjecture

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 09 Oct 2017Embargo end date: 01 Jan 2015Publisher:Cambridge University Press (CUP)Journal:Mathematical Proceedings of the Cambridge Philosophical Society, volume 166, pages 1-31 (issn: 0305-0041, eissn: 1469-8064,

Authors: Artie Prendergast-Smith; Izzet Coskun;

doi: 10.1017/s0305004117000676 , 10.48550/arxiv.1507.08527

arXiv: http://arxiv.org/abs/1507.08527

Fano manifolds of indexn− 2 and the cone conjecture

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Abstract

AbstractThe 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 indexn- 1. In this paper, we consider the Morrison–Kawamata conjecture for blowups of Fano manifolds of indexn- 2.

Related Organizations

University of Illinois System
United States
Loughborough University
United Kingdom

Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Geometry (math.AG), 14E30, 14E07 (primary), 14J35, 14J40, 14J50, 14D06 (secondary)

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