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Computing in Singularity Theory

Thesis Info

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External Link

Author

Binyamin, Muhammad Ahsan

Supervisor

Gerhard Pfister

Program

PhD

Institute

Government College University Lahore

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2012

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/1530

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676725780799

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The aim of the thesis is to study, develop and implement algorithms to compute in- variants in singularity theory. A very important part is a parallel and very efficient implementation in computer algebra system SINGULAR. Three different and inde- pendent problems have been considered: • The computation of the signature of a surface singularity defined by z N + g(x, y) = 0. • The computation of resolution graph and related invariants for plane curve singularities. • The classification of simple function germs with respect to right equivalence in characteristic p > 0 and the implementation of a classifyer.
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