Mathematics – Algebraic Geometry
Scientific paper
2008-02-14
Mathematics
Algebraic Geometry
Exposition improved, Reference to work of Debarre and Voisin added, Corollary 1.6 removed
Scientific paper
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 2d polarised (split type) symplectic
manifolds which are deformation equivalent to degree 2 Hilbert schemes of a K3
surface is of general type if d is at least 12.
Gritsenko Valery
Hulek Klaus
Sankaran G. K.
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