We describe the image of the locus of hyperelliptic curves of genus $g$ under the period mapping in a neighbourhood of the diagonal locus ${\mathfrak{Diag}}_g$. There is just one branch for each of the alkanes ${\mathrm{C}}_g{\mathrm{H}}_{2g+2}$ of elementary organic chemistry, and each branch has a simple linear description in terms of the entries of the period matrix.

中文翻译：

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雅可比椭圆面的渐近周期关系

我们描述属的超椭圆曲线轨迹的图像 $G$ 在对角轨迹附近的周期映射下 ${\mathfrak{诊断}}_G$。每个烷烃只有一个分支${\mathrm{C}}_G{\mathrm{H}}_{\mathrm{2个}G+\mathrm{2个}}$ 基本有机化学的概念，并且每个分支在周期矩阵的条目方面都有一个简单的线性描述。