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arXiv · 1504.03423

Detecting asymptotic non-regular values by polar curves

Zbigniew Jelonek·Mihai Tibar
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Abstract

We locate the Malgrange non-regular values of a given polynomial function $f:\bC^n \to \bC$ 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.

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Zbigniew Jelonek, Mihai Tibar. 2016-06-07. Detecting asymptotic non-regular values by polar curves. https://doi.org/10.1093/imrn%2Frnw048

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