1999/11/15 by Keiji Oguiso, K. Oguiso, Oguiso, K.
Mathematics · #14E27 #14J05 #14J10 #14J28 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14E27 #msc:14J05 #msc:14J10 #msc:14J28
paper · pdf · doi:10.48550/arxiv.math/9911105
16 pages, AMSTeX
arxiv created 1999/11/15 · openalex publication_date 1999/11/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.