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.
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页码：25 / 31
页数：7
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