On the generalized critical values of a polynomial mapping
- Cite this article as:
- Jelonek, Z. Manuscripta Math. (2003) 110: 145. doi:10.1007/s00229-002-0320-x
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Let \(\) be a polynomial dominant mapping and let deg fi≤d. We prove that the set K(f) of generalized critical values of f is contained in the algebraic hypersurface of degree at most D=(d+s(m−1)(d−1))n, where \(\). This implies in particular that the set B(f) of bifurcations points of f is contained in the hypersurface of degree at most D=(d+s(m−1)(d−1))n. We give also an algorithm to compute the set K(f) effectively.