# Unimodular ICIS, a Classifier

## TL;DR

This paper provides algorithms and a classifier implementation for identifying unimodular complete intersection surface singularities, completing the classification previously only partially addressed by Wall.

## Contribution

It introduces a complete list of unimodular surface singularities and a computational classifier implemented in Singular for their identification.

## Key findings

- Algorithms for normal form computation of unimodular singularities.
- A complete classification list of unimodular surface singularities.
- Implementation of a classifier in Singular software.

## Abstract

We present the algorithms for computing the normal form of unimodular complete intersection surface singularities classified by C. T. C. Wall. He indicated in the list only the $\mu$-constant strata and not the complete classification in each case. We give a complete list of surface unimodular singularities. We also give the description of a classifier which is implemented in computer algebra system \singular.