English

Detecting asymptotic non-regular values by polar curves

Algebraic Geometry 2017-02-22 v2

Abstract

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

Keywords

Cite

@article{arxiv.1504.03423,
  title  = {Detecting asymptotic non-regular values by polar curves},
  author = {Zbigniew Jelonek and Mihai Tibar},
  journal= {arXiv preprint arXiv:1504.03423},
  year   = {2017}
}
R2 v1 2026-06-22T09:15:33.392Z