Detecting asymptotic non-regular values by polar curves
classification
🧮 math.AG
keywords
non-regularvaluescurvesmalgrangepolaraffinealgorithmasymptotic
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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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