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D.15.1.8 arnoldMorseSplit

Procedure from library arnoldclassify.lib (see arnoldclassify_lib).

Usage:
arnoldMorseSplit(f); f poly

Assume:
base ring is local, f in maxideal(2) has isolated critical point at 0

Compute:
result of Splitting Lemma applied to f

Return:
polynomial g in maxideal(3) right equivalent to f

Example:
 
LIB "arnoldclassify.lib";
ring r=0,(x,y,z),ds;
export r;
poly f=(x2+3y-2z)^2+xyz-(x-y3+x2*z3)^3;
poly g=arnoldMorseSplit(f);
g;
==> 3/2x2y-y3