Common Ramification Points of Pencils on Double Covering Curves

被引：0

作者：

Ballico E. ^{[1
]}

Keem C. ^{[2
]}

机构：

[1] Dipartimento di Matematica, Università di Trento, Povo (TN)

[2] Department of Mathematics, Seoul National University, Seoul

来源：

Results in Mathematics | 2004年 / 46卷 / 1-2期

关键词：

14H45; 14H51; bielliptic curve; double covering; h-hyperelliptic curve; ramification point;

D O I：

10.1007/BF03322865

中图分类号：

学科分类号：

摘要：

Let f: X → C be a “ general ” double covering of a smooth curve C of genus h ≥ 1. Here we show (with some restrictions on C if h ≥ 2) that there is no P ∈ X which is a common ramification point of all degree g-2h+1 morphisms X → P1. © 2004, Birkhäuser Verlag, Basel.

引用

页码：13 / 15

页数：2

共 5 条

[1] Ballico E., Keem C., On multiple coverings of irrational curves, Arch. Math. (Basel), 65, 2, pp. 151-160, (1995)
[2] Ballico E., Keem C., Variety of linear systems on double covering curves, J. Pure Appl. Algebra, 128, 3, pp. 213-224, (1998)
[3] Coppens M., Keem C., Martens G., Primitive linear series on curves, Manuscripta Math., 77, pp. 237-264, (1992)
[4] Kani E., On Castelnuovo’s equivalence defect, J. Reine Angew. Math., 352, pp. 24-70, (1984)
[5] Perrin D., Courbes passant par m points généraux de P<sup>3</sup> , Mem. Soc. Math. France n., (1987)

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