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Tame polynomials
A polynomial map
is called tame iff

Interpretation:
  • f has only finitely many, and only isolated, critical points;
  • (bifurcation locus of f) = (set of critical values), that is, there is no contribution from infinity.
Criterion [Broughton]: f is tame iff

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KL, 06/03 http://www.singular.uni-kl.de