Limits of Pluri–Tangent Planes to Quartic Surfaces

摘要: We describe, for various degenerations S → Δ of quartic K3 surfaces over the complex unit disk (e.g., to union four general planes, and a Kummer surface), limits as t ∈ ∗ tends 0 Severi varieties V δ (S ), parametrizing irreducible δ-nodal plane sections . give applications this (i) counting nodal curves through base points in special position, (ii) irreducibility surface, (iii) monodromy universal family rational on surfaces.