Picard numbers in a family of hyperkähler manifolds - A supplement to the article of R. Borcherds, L. Katzarkov, T. Pantev, N. I. Shepherd-Barron

Details Picard numbers in a family of hyperkähler manifolds - A supplement to the article of R. Borcherds, L. Katzarkov, T. Pantev, N. I. Shepherd-Barron Picard numbers in a family of hyperkähler manifolds - A supplement to the article of R. Borcherds, L. Katzarkov, T. Pantev, N. I. Shepherd-Barron

2000-11-30

arxiv.org/abs/math/0011258v1

Mathematics

Algebraic Geometry

12 pages, AMS TeX

Scientific paper

We remark the density of the jumping loci of the Picard number of a
hyperk\"ahler manifold under small one-dimensional deformation and provide some
applications for the Mordell-Weil groups of Jacobian K3 surfaces.

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