Teichmüller Curves Through Fermat Curves

被引：0
|
作者：
William A. Veech
机构：
[1] Rice University,Mathematics Department, MS136
来源：
Geometric and Functional Analysis | 2008年 / 18卷
关键词：
Teichmüller curve; Fermat curve; rigid/rational ramification type; 30F60; 37F99; 37E99;
D O I：
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学科分类号：
摘要：
The billiard in a regular n-gon is known to give rise to a Teichmüller curve. For odd n, we compute the genus of this curve, a number field over which the curve may be defined and branched covering relations between certain pairs of these curves. If n is a power of a prime congruent to 3 or 5 modulo 8, the Teichmüller curve may be defined over the rationals.
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页码：1053 / 1085
页数：32
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