Density of rational curves on K3 surfaces

被引：0

作者：

Chen, Xi ^{[1
]}

Lewis, James D. ^{[1
]}

机构：

[1] Univ Alberta, Edmonton, AB T6G 2G1, Canada

来源：

MATHEMATISCHE ANNALEN | 2013年 / 356卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

POINTS; MAPS;

D O I：

10.1007/s00208-012-0848-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the dynamics of self rational maps of elliptic surfaces together with deformation theory, we prove that the union of rational curves is dense on a very general surface and that the union of elliptic curves is dense in the 1st jet space of a very general surface, both in the strong topology.

引用

页码：331 / 354

页数：24

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