$\newcommand{\kk}{\mathbb{K}} \newcommand{\rr}{\mathbb{R}} \DeclareMathOperator{\ord}{ord} \DeclareMathOperator{\supp}{supp}$Let $f$ be a power series in $n$ variables $x_1, \ldots, x_n$ over a field $\kk$. If $f$ is regular in $x_n$, i.e. $f(0, \ldots, 0, x_n) \not\equiv 0$, then there is a unique Weierstrass polynomial (with respect to $x_n$), say $w$, and an invertible power series $u$ associated to $f$ such… Continue reading Support of Weierstrass Quotients and Remainders