Hyperelliptic translation surfaces and folded tori

被引：2
|
作者：
Johnson, Chris [1 ]
Schmoll, Martin [2 ]
机构：
[1] Clemson Univ, Fac Math, Clemson, SC 29634 USA
[2] Clemson Univ, Fac Math, Clemson, SC 29634 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 2014年 / 161卷
关键词：
Translation surface; Quadratic differential; Hyperelliptic surfaces; Riemann surfaces; Branched covers; RECURRENCE;
D O I：
10.1016/j.topol.2013.09.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Following constructions of McMullen [11] and Vasilyev [15] we list strict quadratic differentials on (marked) tori defined by twists of one-forms on hyperelliptic surfaces. We count the total number of twists in each genus and show that the quadratic differentials on (marked) tori are strict. Taking universal covers we obtain a variety of (non-arithmetic) lattice Panov planes [14] from genus two lattice surfaces. (C) 2013 Elsevier B.V. All rights reserved.
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页码：73 / 94
页数：22
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