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arXiv math/0603555math.NTmath.AG
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模空间特殊层中亏格3曲线的分类

Classification of genus 3 curves in special strata of the moduli space

Martine Girard, David R. Kohel

摘要:

我们描述的不变量的平面四次曲线-非超椭圆属3曲线在其典型的模型-由Dixlovan和Ohno确定的,与应用程序的分类与给定的结构曲线。特别是,我们确定模块方程的地层中的模空间$\Me_3$的平面四次曲线至少有7个hyperflexes,并获得计算表征这些地层中的曲线。

英文摘要:

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 $\Me_3$ of plane quartics which have at least seven hyperflexes, and obtain an computational characterization of curves in these strata.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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