Weierstrass points and double coverings of curves
Weierstrass points and double coverings of curves
复制标题
维尔斯特拉斯点和曲线的双重覆盖
DOI：
10.1007/bf02567599
复制
发表时间：
1994
期刊：
影响因子：
--
通讯作者：
F. Torres
中科院分区：
文献类型：
--
作者：
F. Torres
设X是一条射影，不可约，非奇异代数曲线，定义在g≥2的特征为零的代数闭域上。对于点P (X)，设H (P)和w (P)分别表示点P处的weerstrass半群和点X的权值，如果曲线X是投影线的双重覆盖，则称其为超椭圆。下面的结果是众所周知的；参见[9].提案下面的语句是等价的：
Let X be a projective, irreducible, non-singular algebraic curve defined over an algebraically closed field of characteristic zero of genus g≥ 2. For a point P of X, let H (P) and w (P) denote respectively the Weierstrass semigroup and the weight of X at P. The curve X is called hyperelliptic if it is a double covering of the projective line. The result below is well-known; see eg [9].Proposition. The following statements are equivalent: