An extraordinary origami curve

被引：33

作者：

Herrlich, Frank ^{[1
]}

Schmithuesen, Gabriela ^{[1
]}

机构：

[1] Univ Karlsruhe, Inst Algebra Geometr, D-76128 Karlsruhe, Germany

来源：

MATHEMATISCHE NACHRICHTEN | 2008年 / 281卷 / 02期

关键词：

origamis; Teichmuller curves; Veech groups; coverings of elliptic curves;

D O I：

10.1002/mana.200510597

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the origami W defined by the quaternion group of order 8 and its Teichmuller curve C(W) in the moduli space M-3. We prove that W has Veech group SL2(Z), determine the equation of the family over C(W) and find several further properties. As main result we obtain infinitely many origami curves in M-3 that intersect C(W). We also present a combinatorial description of these origamis. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：219 / 237

页数：19

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