Cascade for [2], [2, 2, 2], [2, 3, 4]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[2], [2, 3, 4], [2, 2, 2] 4 2, 18, 4 1, 3, 1 3
\(\downarrow\)
[2], [2, 3, 3], [2, 2] 54/13 2, 13, 3 1, 13, 1 13
\(\downarrow\)
[2], [2, 3, 2], [2] 9/2 2, 8, 2 1, 4, 1 4