Detecting Asymptotic Non-regular Values by Polar Curves
Jelonek, Z. (Zbigniew), Tibăr, M. (Mihai) · LillOA (Université de Lille (University Of Lille)) · 2017
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.