Outline

Examples

Ext

Primdec

Normalize

MuPAD

Deform

Classify

Monodromy

Kodaira

Puiseux

Classification of Singularities


Task: Classify singularities w.r.t. Arnold's classification scheme.

For example, decide whether a singularity is one of the Kleinian (also refered to as simple or ADE) singularities which are given by the following normal forms:
Ak: x1k+1 + x22 + x32 + ... + xn2 , k >= 1
Dk: x1(x1k-2 + x22) +x32 + ... + xn2 , k >= 4
E6: x14 + x23 + x32 + ... + xn2
E7: x2(x13 + x22) +x32 + ... + xn2
E8: x15 + x23 + x32 + ... + xn2


Oberwolfach http://www.mathematik.uni-kl.de/~zca/Singular