Veech groups without parabolic elements
Veech groups without parabolic elements
复制标题
没有抛物线单元的 Veech 群
DOI：
10.1215/s0012-7094-06-13326-4
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发表时间：
2005
影响因子：
2.5
通讯作者：
Erwan Lanneau
中科院分区：
文献类型：
--
作者：
P. Hubert;Erwan Lanneau
本文证明了一个"bouillabaisse“曲面（具有两个横向抛物元素的平移曲面）具有全真实的迹场。作为推论，不存在没有抛物元的非平凡Veech群。证明遵循Veech的观点瑟斯顿的建设的伪Anosov同构。
We prove that a ``bouillabaisse'' surface (translation surface which has two transverse parabolic elements) has totally real trace field. As a corollary, non trivial Veech groups which have no parabolic elements do exist. The proof follows Veech's viewpoint on Thurston's construction of pseudo-Anosov diffeomorphisms.