论文标题
平滑平面六曲线的自动形态组的分层
The stratification by automorphism groups of smooth plane sextic curves
论文作者
论文摘要
我们在特征p = 0或p> 21的代数闭合场k上获得了平滑平面六曲线的自动形组列表。此外，我们分配给每个组的几何完整族，而k描述了其相应的层，即具有参数的通用定义多项式方程，以使层中的任何曲线都是k-同构对非单向平面模型的k-均形模型。
We obtain the list of automorphism groups for smooth plane sextic curves over an algebraically closed field K of characteristic p=0 or p>21. Moreover, we assign to each group a geometrically complete family over K describing its corresponding stratum, that is, a generic defining polynomial equation with parameters such that any curve in the stratum is K-isomorphic to a non-singular plane model obtained by specializing the values of those parameters over K.
