论文标题
翻译表面上的遗忘点
Oblivious points on translation surfaces
论文作者
论文摘要
翻译表面上的一个遗忘点是一个点，没有封闭的大地测量。 Nguyen，Pan和Su（2017）表明，在任何给定的翻译表面上，最多有限的遗忘点有限，并建造了一个完全忽略的表面家族。我们建造了新的翻译表面家族，这些家庭有许多遗忘的观点，并证明每个属$ \ ge3 $都有一个遗忘点的翻译表面。
An oblivious point on a translation surface is a point with no closed geodesic passing through it. Nguyen, Pan, and Su (2017) showed that there are at most finitely many oblivious points on any given translation surface and constructed a family of surfaces with exactly one oblivious point. We construct new families of translation surfaces with arbitrarily many oblivious points and prove that there is a translation surface in every genus $\ge3$ with an oblivious point.
