New asymptotics for the existence of plane curves with prescribed singularities

被引：9

作者：

Lossen, C ^{[1
]}

机构：

[1] Univ Kaiserslautern, Fachbereich Math, D-67663 Kaiserslautern, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 1999年 / 27卷 / 07期

关键词：

D O I：

10.1080/00927879908826626

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the classical problem of the existence of irreducible plane curves with given degree d and prescribed singularities of topological types S-1,...,S-r. Our main results concern substantial improvements of the leading coefficients in the asymptotically optimal sufficient conditions for complex plane curves which were found in [GLS1]. We then transfer these results to real plane curves.

引用

页码：3263 / 3282

页数：20

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