Please use this identifier to cite or link to this item:
http://142.54.178.187:9060/xmlui/handle/123456789/11836
Title: | COMPUTING IN SINGULARITY THEORY |
Authors: | Binyamin, Muhammad Ahsan |
Keywords: | Natural Sciences |
Issue Date: | 2012 |
Publisher: | GC UNIVERSITY LAHORE |
Abstract: | 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. |
URI: | http://142.54.178.187:9060/xmlui/handle/123456789/11836 |
Appears in Collections: | Thesis |
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