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Fano manifolds of index n − 2 and the cone conjecture

Published online by Cambridge University Press:  09 October 2017

IZZET COSKUN  and
ARTIE PRENDERGAST-SMITH
IZZET COSKUN
Affiliation:
Department of Mathematics, Statistics and CS, University of Illinois at Chicago, Chicago, IL 60607, U.S.A. e-mail: coskun@math.uic.edu
ARTIE PRENDERGAST-SMITH
Affiliation:
Department of Mathematical Sciences, Loughborough University, LE11 3TU. e-mail: A.Prendergast-Smith@lboro.ac.uk
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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.

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 166 , Issue 1 , January 2019 , pp. 1 - 31
Copyright
Copyright © Cambridge Philosophical Society 2017 

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Footnotes

†

Partially supported by the NSF CAREER grant DMS-0950951535.

‡

Partially supported by EPSRC First Grant EP/L026570/1.

References

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