论文标题
双含Heptagon翻译表面的中心点不是连接点
Central points of the double heptagon translation surface are not connection points
论文作者
论文摘要
我们考虑由双$（2n+1）$ -gons形成的翻译表面上的流方向，并在天然GCD算法方面具有足够的条件，以使方向是双曲线的，因为它是表面Veech组的某些双曲线元素的固定方向。特别是，我们在双含Heptagon翻译表面的自动磁场中给出了明确的点，这不是所谓的连接点。其中是七琴的核心点，对P.Hubert和T.Schmidt的问题给出了负面答案。
We consider flow directions on the translation surfaces formed from double $(2n+1)$-gons, and give a sufficient condition in terms of a natural gcd algorithm for a direction to be hyperbolic in the sense that it is the fixed direction for some hyperbolic element of the Veech group of the surface. In particular, we give explicit points in the holonomy field of the double heptagon translation surface which are not so-called connection points. Among these are the central points of the heptagons, giving a negative answer to a question by P.Hubert and T.Schmidt.
