Rational nodal curves with no smooth Weierstrass points

被引：4

作者：

Garcia, A ^{[1
]}

Lax, RF ^{[1
]}

机构：

[1] LOUISIANA STATE UNIV,DEPT MATH,BATON ROUGE,LA 70803

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 02期

关键词：

Weierstrass point; rational nodal curve;

D O I：

10.1090/S0002-9939-96-03298-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X denote the rational curve with n+1 nodes obtained from the Riemann sphere by identifying 0 with infinity and zeta(j) with -zeta(j) for j = 0, 1,..., n-1, where zeta is a primitive (2n)th root of unity. We show that if n is even, then X has no smooth Weierstrass points, while if n is odd, then X has 2n smooth Weierstrass points.

引用

页码：407 / 413

页数：7

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[1]

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[2]

CHIARLI N, 1984, CR ACAD SCI I-MATH, V6, P67

[3]

Fulton W., 2013, INTERSECTION THEORY, DOI DOI 10.1007/978-3-662-02421-8

[4] ON WEIERSTRASS POINTS ON ARTIN-SCHREIER EXTENSIONS OF K(X) [J].