Families of hyperkähler manifolds

Details Families of hyperkähler manifolds Families of hyperkähler manifolds

1999-11-15

arxiv.org/abs/math/9911105v1

Mathematics

Algebraic Geometry

16 pages, AMSTeX

Scientific paper

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.

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