Title

Classification of right unimodal and bimodal hypersurface singularities in positive characteristic by invariants

Author Affiliation

Junaid Alam Khan is Assistant Professor and Chairperson of Mathematica l Sciences at Institute of Business Administration (IBA), Karachi

Faculty / School

Faculty of Computer Sciences (FCS)

Department

Department of Mathematical Sciences

Was this content written or created while at IBA?

Yes

Document Type

Article

Source Publication

Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie

ISSN

1220-3874

Abstract

The complete classification of right unimodal and bimodal hypersurface singularities over a field of positive characteristic was given by H. D. Nguyen in form of a classifier, which allows the concrete classification from the given equation in a step by step procedure. The aim of this article is to characterize right unimodal and bimodal hypersurface singularities of corank ≤ 2 by means of easy computable invariants such as the multiplicity, the Milnor number of the given equation and its blowing up. We also give a description of the algorithm to compute the type of right unimodal and bimodal hypersurface singularities without computing the normal form, which we have implemented in the computer algebra system Singular.

Indexing Information

HJRS - Y Category, Scopus, Web of Science - Science Citation Index Expanded (SCI)

Publication Status

Published

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