利用极曲线检测渐近非正则值
Detecting asymptotic non-regular values by polar curves
摘要:
本文利用一系列仿射极曲线来确定给定多项式函数$f:\bC^n \to \bC$的Malgrange非正则值。此外,我们表明,所有非平凡的Malgrange非正规值的$f$表示由一个单一的“超极曲线”,我们在这里介绍,也提供了一个有效的检测算法。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。