论文标题

多项式家族的判别,顶点和一般类型

Discriminant, vertex and general type of a family of polynomials

论文作者

Sousa, Wallace

论文摘要

在本文中,我们使用Katz引入的方法对双平面曲线的极限进行形式表达。作为一个应用程序,我们给出一个公式,以计算$ c(0)$ c(t)$ c(t)$的顶点c(t)$一个单参数曲线家族,我们表明这些顶点仅取决于该家族的第一个$τ$术语,其中$τ$是$ c(t)$的一般类型。

In this paper we give a formal expression to the limits of dual plane curves by using the method introduced by Katz. As an application, we give a formula to compute the vertices of $C(0)$ a plane curve in $C(t)$ a one-parameter family of plane curves and we show that those vertices depend only on the first $τ$ terms of that family, where $τ$ is the general type of $C(t)$.

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