Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, II

TL;DR

This paper proves a key conjecture that enables the classification of certain degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, advancing understanding in algebraic geometry.

Contribution

It confirms a main conjecture from a previous work, leading to a classification of degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups.

Findings

Proof of the main conjecture from prior work.

Classification of codimension one degenerations.

Enhanced understanding of symplectic automorphisms on K3 surfaces.

Abstract

We prove the main Conjecture 4 of our paper arXiv:1403.6061v5, which leads to classification of degenerations of codimension one of Kahlerian K3 surfaces with finite symplectic automorphism groups.