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arxiv: 1504.03423 · v2 · pith:SNPQWP45new · submitted 2015-04-14 · 🧮 math.AG

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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