Classification of Genus 3 Curves in Special Strata of the Moduli Space
Classification of Genus 3 Curves in Special Strata of the Moduli Space
复制标题
模空间特殊层中属3曲线的分类
DOI：
10.1007/11792086_25
复制
发表时间：
2006
影响因子：
1.8
通讯作者：
D. Kohel
中科院分区：
文献类型：
--
作者：
M. Girard;D. Kohel
我们描述了由 Dixmier 和 Ohno 确定的平面四次曲线（其规范模型中的非超椭圆 3 格曲线）的不变量，并应用于给定结构的曲线分类。特别是，我们确定了具有至少七个超屈曲的平面四次方程的模空间 ${\mathcal M}_3$ 中的层的模方程，并获得了这些层中曲线的计算特征。
We describe the invariants of plane quartic curves — nonhyperelliptic genus 3 curves in their canonical model — as determined by Dixmier and Ohno, with application to the classification of curves with given structure. In particular, we determine modular equations for the strata in the moduli space ${\mathcal M}_3$ of plane quartics which have at least seven hyperflexes, and obtain an computational characterization of curves in these strata.