Let f be an analytic germ on Cn+1. Then there is an analytic linear partial differential operator P with polynomial dependence on s, and a polynomial b(s), such that Pfs+1 = b(s)fs. This paper contains a simple existence proof and geometric interpretation in the case when f has an isolated critical zero at the origin, and is contained in its Jacobian ideal of first partial derivatives.
展开▼
机译：令f为C n + 1 的解析胚。然后有一个与s多项式相关的解析线性偏微分算子P和一个多项式b（s），使得Pf s + 1 = b（s）f s 。当f在原点具有孤立的临界零且包含在其第一阶导数的Jacobian理想中时，本文包含简单的存在性证明和几何解释。
展开▼
