Semistable K3-surfaces with icosahedral symmetry

2001/06/15 by Jan Stevens, Stevens, Jan
Mathematics · #14J28 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #math.AG #msc:14J28

paper · pdf · doi:10.48550/arxiv.math/0106133

31 pages, 7 ps-figures

arxiv created 2001/06/15 · openalex publication_date 2001/06/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a Type III degeneration of K3-surfaces the dual graph of the central fibre is a triangulation of the 2-sphere. We realise the tetrahedral, octahedral and especially the icosahedral triangulation in families of K3-surfaces, preferably with the associated symmetry groups acting.

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