Singular Surface Database

Log del Pezzo surfaces of Picard number one

Cascades
Lists
Toric lists
ε-lc del Pezzo surfaces
Toolkits (under construction)

Toric surfaces

Cascades of a Fano polygon with given vertices
Cascades of a Fano polygon with given singularity types
Toric polygons
Toolkits

Miscellaneous

Local singularity
Possible rational curves
Rational \(\mathbb{Q}\)-homology \(\mathbb{P}^2\) of Calabi-Yau type
\(\mathbb{Q}\)-homology \(\mathbb{P}^2\) (being improved)