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Moduli spaces of irreducible symplectic manifolds


Reference:

Gritsenko, V., Hulek, K. and Sankaran, G. K., 2010. Moduli spaces of irreducible symplectic manifolds. Compositio Mathematica, 146 (2), pp. 404-434.

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Official URL:

http://dx.doi.org/10.1112/s0010437x0900445x

Abstract

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.

Details

Item Type Articles
CreatorsGritsenko, V., Hulek, K. and Sankaran, G. K.
DOI10.1112/s0010437x0900445x
Uncontrolled Keywordsorthogonal groups, irreducible symplectic manifold, siegel formula for quadratic forms, moduli
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code18669

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