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Families of hyperkähler manifolds

K. Oguiso
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Abstract

We show the density of the jumping loci of the Picard number of a hyperkähler manifold under small deformation and provide several applications. In particular, we apply this to reveal the structure of hierarchy among all the narrow Mordell-Weil lattices of Jacobian K3 surfaces.

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K. Oguiso. 1999-11-15. Families of hyperkähler manifolds. https://arxiv.org/abs/math/9911105

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