论文标题
Zariski倍数与四曲线关联
Zariski multiples associated with quartic curves
论文作者
论文摘要
我们研究了平面曲线的Zariski倍数$ z_1，\ dots，z_n $，以使每个$ z_i $都是光滑的四分之一曲线的结合，其中一些bitangents及其4区域圆锥。我们表明，对于这种类型的平面曲线，变形类型等于同构类型，当平面曲线的度$ d $倾向于无限时，变形类型的数量随$ O（d^{62}）$而增长。
We investigate Zariski multiples of plane curves $Z_1, \dots, Z_N$ such that each $Z_i$ is a union of a smooth quartic curve, some of its bitangents, and some of its 4-tangent conics. We show that, for plane curves of this type, the deformation types are equal to the homeomorphism types, and that the number of deformation types grows as $O(d^{62})$ when the degree $d$ of the plane curves tends to infinity.
