LINEAR SYSTEMS OF RATIONAL CURVES ON RATIONAL SURFACES

被引：0

作者：

Daigle, Daniel ^{[1
]}

Melle-Hernandez, Alejandro ^{[2
]}

机构：

[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

[2] Univ Complutense, Fac Matemat, ICMAT CSIC UAM UCM Dept Algebra UC3M, E-28040 Madrid, Spain

来源：

MOSCOW MATHEMATICAL JOURNAL | 2012年 / 12卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Rational curves; rational surfaces; linear systems; weighted cluster of singular points;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a curve C on a projective nonsingular rational surface S, over an algebraically closed field of characteristic zero, We are interested in the set Omega(C) of linear systems L on S satisfying C is an element of L, dim L >= 1, and the general member of L is a rational curve. The main result of the paper gives a complete description of Omega(C) and, in particular, characterizes the curves C for which Omega(C) is non empty.

引用

页码：261 / 268

页数：8