Type II degenerations of K3 surfaces of degree 4
Abstract
Abstract We study Type II degenerations of K3 surfaces of degree 4 where the central fibre consists of two rational components glued along an elliptic curve. Such degenerations are called Tyurin degenerations. We construct explicit Tyurin degenerations corresponding to each of the 1‐dimensional boundary components of the Baily–Borel compactification of the moduli space of K3 surfaces of degree 4. For every such boundary component, we also construct an 18‐dimensional family of Tyurin degenerations of K3 surfaces of degree 4 and compute the stable models of these degenerations.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometric and Algebraic Topology
Advanced Numerical Analysis Techniques
Publication details
- Journal / source
- Proceedings of the London Mathematical Society
- Volume
- 133
- Issue
- 1
- Publication date
- 1 July 2026
- Language
- EN