On certain remarkable curves of genus five

被引：5
|
作者：
Del Centina, A [1 ]
机构：
[1] Univ Ferrara, Dept Math, I-44100 Ferrara, Italy
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2004年 / 15卷 / 03期
关键词：
bielliptic curves of genus five; Weierstrass points of maximal weight; ramification points;
D O I：
10.1016/S0019-3577(04)80003-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this note is twofold. First to show the existence of genus five curves having exactly twenty four Weierstrass points, which constitute the set of fixed points of three distinct elliptic involutions on them. Second to characterize these curves, in fact we Prove that all such curves are bielliptic double cover of Fermat's quartic.
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页码：339 / 346
页数：8
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