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We locate the Malgrange non-regular values of a given polynomial function   $f:\mathbb C^n \to \mathbb C$   by using a series of affine polar curves. We moreover show that all non-trivial Malgrange non-regular values of   $f$   are indicated by a single “super-polar curve” which we introduce here, providing also an effective algorithm of detection.

Detecting Asymptotic Non-regular Values by Polar Curves