Lattice surfaces and smallest triangles

被引：1
|
作者：
Wu, Chenxi [1 ]
机构：
[1] Cornell Univ, Dept Math, White Hall, Ithaca, NY 14853 USA
来源：
GEOMETRIAE DEDICATA | 2017年 / 187卷 / 01期
关键词：
Translation surface; Lattice surface; Thurston-Veech construction; TEICHMULLER-CURVES; MODULI SPACE; BILLIARDS; GENUS-2;
D O I：
10.1007/s10711-016-0191-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We calculate the area of the smallest triangle and the area of the smallest virtual triangle for many known lattice surfaces. We show that our list of the lattice surfaces for which the area of the smallest virtual triangle greater than 1/20 is complete. In particular, this means that there are no new lattice surfaces for which the area of the smallest virtual triangle is greater than .05. Our method follows an algorithm described by Smillie and Weiss and improves on it in certain respects.
引用
收藏
页码：107 / 121
页数：15
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