A proof of the Kawamata-Morrison Cone Conjecture for holomorphic symplectic varieties of K3^[n] or generalized Kummer deformation type

Fuente: arXiv
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Main Authors: Markman, Eyal, Yoshioka, Kota
Format: Preprint
Published: 2014
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author Markman, Eyal
Yoshioka, Kota
author_facet Markman, Eyal
Yoshioka, Kota
contents We prove a version of the Kawamata-Morrison ample cone conjecture for projective irreducible holomorphic symplectic manifolds deformation equivalent to either the Hilbert scheme of n points on a K3 surface, or a generalized Kummer variety.
format Preprint
id arxiv_https___arxiv_org_abs_1402_2049
institution arXiv
publishDate 2014
record_format arxiv
spellingShingle A proof of the Kawamata-Morrison Cone Conjecture for holomorphic symplectic varieties of K3^[n] or generalized Kummer deformation type
Markman, Eyal
Yoshioka, Kota
Algebraic Geometry
We prove a version of the Kawamata-Morrison ample cone conjecture for projective irreducible holomorphic symplectic manifolds deformation equivalent to either the Hilbert scheme of n points on a K3 surface, or a generalized Kummer variety.
title A proof of the Kawamata-Morrison Cone Conjecture for holomorphic symplectic varieties of K3^[n] or generalized Kummer deformation type
topic Algebraic Geometry
url https://arxiv.org/abs/1402.2049