Families of hyperk\"ahler manifolds
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9911105,
title = {Families of hyperk\"ahler manifolds},
author = {K. Oguiso},
journal= {arXiv preprint arXiv:math/9911105},
year = {2007}
}
Comments
16 pages, AMSTeX