On the gonality sequence of smooth curves

被引：2

作者：

Ballico, Edoardo ^{[1
]}

机构：

[1] Univ Trento, Dept Math, I-38123 Povo, TN, Italy

来源：

ARCHIV DER MATHEMATIK | 2012年 / 99卷 / 01期

关键词：

Gonality sequence; Smooth curve; Nodal curve;

D O I：

10.1007/s00013-012-0409-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let C be a smooth curve of genus g. For each positive integer r the r-gonality d (r) (C) of C is the minimal integer t such that there is with h (0)(C, L) = r + 1. Here we use nodal plane curves to construct several smooth curves C with d (2)(C)/2 < d (3)(C)/3, i.e., for which a slope inequality fails.

引用

页码：25 / 31

页数：7

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