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D.6.3.7 arnoldDeterminacy
Procedure from library arnoldclassify.lib (see arnoldclassify_lib).
- Usage:
- arnoldDeterminacy( I[, m]); I poly or ideal, m int.
- Assume:
- the basering is local, I is the Jacobian ideal of a polynomial f
with isolated critical point at 0, m is the Milnor number of f
- Compute:
- determinacy bound k for f w.r.t. right equivalence
- Return:
- integer k s.th. f is right-k-determined, -1 for infinity
- Note:
- uses [Cor. A.9.7,GP12]
Example:
| | LIB "arnoldclassify.lib";
ring r=0,(x,y),ds;
poly f=x3+xy3;
ideal I=std(jacob(f));
int k=arnoldDeterminacy(I);
print(k);
==> 5
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