Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. III

TL;DR

This paper extends the classification of degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups to codimension 2 and higher, building on previous work that covered codimension one.

Contribution

It provides a comprehensive classification of higher codimension degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, expanding the existing framework.

Findings

Classification of degenerations of codimension 2 and higher

Extension of previous codimension one results

Enhanced understanding of K3 surface degenerations

Abstract

Similarly to our papers I and II on the subject (see arXiv:1403.6061 and arXiv:1504.00326), we classify degenerations of codimension 2 and higher of Kahlerian K3 surfaces with finite symplectic automorphism groups. In parts I and II, it was done for the codimension one.