论文标题
计算准同质地图细菌的不变$ j $的公式
A formula to calculate the invariant $J$ of a quasi-homogeneous map germ
论文作者
论文摘要
在这项工作中，我们考虑了一个准同质的，corank $ 1 $，有限确定的地图germ $ f $从$（\ mathbb {c}^2,0）$到$（\ Mathbb {c}^3,0）$。 We consider the invariants $m(f(D(f))$ and $J$, where $m(f(D(f))$ denotes the multiplicity of the image of the double point curve $D(f)$ of $f$ and $J$ denotes the number of tacnodes that appears in a stabilization of the transversal slice curve of $f(\mathbb{C}^2)$. We present formulas to计算$ m（f（d（f））$和$ j $的权重和$ f $的程度。
In this work, we consider a quasi-homogeneous, corank $1$, finitely determined map germ $f$ from $(\mathbb{C}^2,0)$ to $(\mathbb{C}^3,0)$. We consider the invariants $m(f(D(f))$ and $J$, where $m(f(D(f))$ denotes the multiplicity of the image of the double point curve $D(f)$ of $f$ and $J$ denotes the number of tacnodes that appears in a stabilization of the transversal slice curve of $f(\mathbb{C}^2)$. We present formulas to calculate $m(f(D(f))$ and $J$ in terms of the weights and degrees of $f$.
