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M. Giusti’s classification of the simple complete intersection singularities is characterized in terms of invariants. This is a basis for the implementation of a classifier in the computer algebra system Singular.

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Studia Scientiarum Mathematicarum Hungarica
Authors:
Deeba Afzal
,
Farkhanda Afzal
,
Sidra Mubarak
,
Gerhard Pfister
, and
Asad Yaqub

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 μ-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 the computer algebra system Singular.

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