Families of hyperkähler manifolds

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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.
16 pages, AMSTeX

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Algebraic Geometry, 14J05, 14J10, 14J28, 14E27

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http://salesiana.dossiersoluciones.com/handle/123456789/79408

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911105
 http://arxiv.org/abs/math/9911105

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arXiv