A lower bound for the degree of certain plane curves with prescribed singularities.

被引：7

作者：

Evain, L ^{[1
]}

机构：

[1] Univ Angers, Dept Math, F-49045 Angers, France

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 1998年 / 126卷 / 04期

关键词：

D O I：

10.24033/bsmf.2335

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the degree of a projective plane curve through r generic points with multiplicity m is strictly greater than root rm provided one of the following two conditions is satisfied r is a perfect square greater or equal to ten or r is greater than (8m(m + 1)/(4m - 1))(2) This result is part of a conjecture of Nagata, and the first case was already known to Nagata himself.

引用

页码：525 / 543

页数：19

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