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Muhammad Ahsan Binyamin

Abstract

In this article we present an algorithm to compute the incidence matrix of the resolution graph, the total multiplicities, the strict multiplicities and the Milnor number of a reduced plane curve singularity and its implemetation in Singular

Open access

Deeba Afzal, Muhammad Ahsan Binyamin and Faira Kanwal Janjua

Abstract

The aim of the article is to describe the classification of simple isolated hypersurface sin- gularities over a field of positive characteristic by certain invariants without computing the normal form. We also give a description of the algorithms to compute the classification which we have implemented in the Singular libraries classifyCeq.lib and classifyReq.lib. 1 Int

Open access

Muhammad Ahsan Binyamin, Junaid Alam Khan and Hasan Mahmood

Abstract

In this article we characterize the ideal unimodular singularities in terms of their invariants. On the basis of this characterization we give an implementation of a classifier for ideal unimodular singularities in the computer algebra system SINGULAR.