List of toric log del Pezzo surfaces of Picard number one with index 1

5 singularity types

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index Cascade
\(\phi\) 9 - 1 1 cascade
[2] 8 2 1 1 cascade
[2], [2, 2] 6 2, 3 1, 1 1 cascade
[2], [2], [2, 2, 2] 4 2, 2, 4 1, 1, 1 1 cascade
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1 cascade