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

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[3, 3, 2], [3, 2, 3, 2, 2], [4, 2, 2, 2] 8/13 13, 26, 13 13, 13, 13 13
\(\downarrow\)
[3, 3], [2, 2, 3, 2, 2], [4, 2, 2, 2] 54/65 8, 15, 13 2, 5, 13 130
\(\downarrow\)
[3, 2], [2, 3, 2, 2], [4, 2, 2, 2] 841/715 5, 11, 13 5, 11, 13 715
\(\downarrow\)
[3, 2], [2, 3, 2], [3, 2, 2, 2] 121/90 5, 8, 9 5, 4, 9 180
\(\downarrow\)
[3, 2], [2, 3], [2, 2, 2, 2] 9/5 5, 5, 5 5, 5, 1 5
\(\downarrow\)
[3, 2], [2, 2], [2, 2, 2] 12/5 5, 3, 4 5, 1, 1 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1