Geometric characterization of hyperelliptic Riemann surfaces

被引：0
|
作者：
Schaller, PS [1 ]
机构：
[1] Univ Geneva, Sect Math, CH-1211 Geneva 24, Switzerland
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2000年 / 25卷 / 01期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new geometric characterization of hyperelliptic Riemann surfaces is given. It is proved that a closed Riemann surface of genus g greater than or equal to 2 is hyperelliptic if and only if M has a set of at least 2g - 2 simple closed geodesics which all intersect in the same point (and mutually intersect in no other point).
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页码：85 / 90
页数：6
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