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arXiv:math/9911105 [math.AG]AbstractReferencesReviewsResources

Families of hyperkähler manifolds

K. Oguiso

Published 1999-11-15Version 1

We show the density of the jumping loci of the Picard number of a hyperk\"ahler 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.

Comments: 16 pages, AMSTeX
Categories: math.AG
Subjects: 14J05, 14J10, 14J28, 14E27
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