双七边形平移曲面的中心点不是连接点
Central points of the double heptagon translation surface are not connection points
摘要：
本文考虑双$(2n+1)$ -双曲变换曲面上的流动方向，并根据自然gcd算法给出了一个方向为双曲的充分条件，即它是曲面Veech群中某个双曲元的固定方向.特别地，我们给出了双七边形平移曲面的完整域中的显式点，这些点不是所谓的连接点。其中包括七边形的中心点，对P.休伯特和T.施密特的一个问题给出了否定的回答。
英文摘要：
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.
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