Linear systems of plane curves with imposed multiple points

被引：7

作者：

Roé, J ^{[1
]}

机构：

[1] Univ Barcelona, Dept Algebra Geometria, Barcelona 08007, Spain

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2001年 / 45卷 / 03期

关键词：

D O I：

10.1215/ijm/1258138158

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A conjecture of Harbourne and Hirschowitz implies that r greater than or equal to 9 general points of multiplicity m impose independent conditions to the linear system of curves of degree d when d(d + 3) greater than or equal to rm(m + 1) - 2. In this paper we prove that the conditions are independent provided d + 2 greater than or equal to (m + 1) (rootr + 1.9 + pi/8).

引用

页码：895 / 906

页数：12

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