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1992 Recognition of {${\scr K}$}-singularities of functions
Farid Tari
Experiment. Math. 1(3): 225-229 (1992).


We describe a computer program, based on Maple, that decides whether or not a polynomial function has a simple or unimodal singularity at the origin, and determines the $\KK$-class of this singularity. The program applies the splitting lemma to the function, in an attempt to reduce the number of variables. Then, in the more interesting cases, linear coordinate changes reduce the 3-jet of the function (or the 4-jet if necessary) to a standard form, and auxiliary procedures complete the classification by looking at higher-order terms. In particular, the reduction procedure classifies cubic curves in $\P^2$.


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Farid Tari. "Recognition of {${\scr K}$}-singularities of functions." Experiment. Math. 1 (3) 225 - 229, 1992.


Published: 1992
First available in Project Euclid: 25 March 2003

zbMATH: 0778.58008
MathSciNet: MR1203876

Primary: 32S05
Secondary: 32-04 , 58C27

Rights: Copyright © 1992 A K Peters, Ltd.

Vol.1 • No. 3 • 1992
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