亏格为3的Arnoux-Yoccoz曲面及相关曲面的方向反转对合
Orientation-reversing involutions of the genus 3 Arnoux-Yoccoz surface and related surfaces
摘要：
本文用Delaunay多边形对亏格为3的Arnoux-Yoccoz平移曲面进行了新的描述，并证明了在仿射等价条件下，它属于等距群包含正方形的二面体群的两类曲面.
英文摘要：
We present a new description of the genus 3 Arnoux--Yoccoz translation surface in terms of its Delaunay polygons and show that, up to affine equivalence, it belongs to two families of surfaces whose isometry groups include the dihedral group of the square.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
