On the number of the cusps of cuspidal plane curves

被引：21

作者：

Tono, K ^{[1
]}

机构：

[1] Saitama Univ, Dept Math, Fac Sci, Urawa, Saitama 3388570, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2005年 / 278卷 / 1-2期

关键词：

plane curves; logarithmic Kodaira dimension;

D O I：

10.1002/mana.200310236

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we estimate an upper bound of the number of the cusps of a cuspidal plane curve. We prove that a cuspidal plane curve of genus g has no more than (21g + 17)/2 cusps. For example, a rational cuspidal plane curve has no more than 8 cusps and an elliptic one has no more than 19 cusps. (C) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

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页码：216 / 221

页数：6

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