Simple closed geodesics on hyperelliptic translation surfaces.
Simple closed geodesics on hyperelliptic translation surfaces.
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发表时间：
2020-03
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通讯作者：
Yoshihiko Shinomiya
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作者：
Yoshihiko Shinomiya
本文给出了超椭圆分支$\mathcal{H}^{\rm {hyp}}（2g-2）$和$\mathcal {H}^{\rm {hyp}}（g-1，g-1）$中平移曲面不含奇点的不相交非同伦闭测地线的最大个数.我们表明，在组件中的翻译表面描述从某些网络。我们还给出了$\mathcal{H}^{\rm {hyp}}（4）$中平移曲面的分类定理。
In this paper, we give the maximal numbers of disjoint and non-homotopic closed geodesics which do not contain singularities for translation surfaces in the hyperelliptic components $\mathcal{H}^{\rm {hyp}}(2g-2)$ and $\mathcal{H}^{\rm{hyp}}(g-1, g-1)$. We show that translation surfaces in the components are described from certain nets. We also give a classification theorem for translation surfaces in $\mathcal{H}^{\rm {hyp}}(4)$.