Symmetries and hierarchy of Mather singularities and multi-singularities

Symmetries of Mather singularities

here

Hierarchy of mono-singularities

General: here

For l=0: here

For l=1: here

Hierarchy of multi-singularities

The elementary splittings of algebras (the LAC) that determines the hierarchy of multi-singularities: here

Hierarchy of multi-singularities up to dim=5 here

Hierarchy of multi-singularities restricted to mu=3 (that is, multi-singularities with sum( dim (Q_i) )=4 ) here

Hierarchy of multi-singularities restricted to mu=4 (that is, multi-singularities with sum( dim (Q_i) )=5 ) here