Rational curves in Calabi-Yau threefolds

被引：8

作者：

Johnsen, T ^{[1
]}

Knutsen, AL

机构：

[1] Univ Bergen, Dept Math, Johs Bruns Gt 12, N-5008 Bergen, Norway

[2] Univ Essen Gesamthsch, Essen, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 08期

关键词：

rational curves; Calabi-Yau threefolds;

D O I：

10.1081/AGB-120022448

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the set of rational curves of a certain topological type in general members of certain families of Calabi-Yau threefolds. For some families we investigate to what extent it is possible to conclude that this set is finite. For other families we investigate whether this set contains at least one point representing an isolated rational curve. Our study is inspired by Johnsen and Kleiman (Johnsen, T., Kleiman, S. (1996). Rational Curves of degree at most 9 on a general quintic threefold. Comm. Algebra 24(8)-2721-2753).

引用

页码：3917 / 3953

页数：37

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