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Moduli spaces of irreducible symplectic manifolds

Published online by Cambridge University Press:  26 January 2010

V. Gritsenko
Affiliation:
Université Lille 1, Laboratoire Paul Painlevé, F-59655 Villeneuve d’Ascq, Cedex, France (email: [email protected])
K. Hulek
Affiliation:
Institut für Algebraische Geometrie, Leibniz Universität Hannover, D-30060 Hannover, Germany (email: [email protected])
G. K. Sankaran
Affiliation:
Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK (email: [email protected])
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Abstract

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We study the moduli spaces of polarised irreducible symplectic manifolds. By a comparison with locally symmetric varieties of orthogonal type of dimension 20, we show that the moduli space of polarised deformation K3[2] manifolds with polarisation of degree 2d and split type is of general type if d≥12.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2010

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