On a conjecture of Oguiso about rational curves on Calabi-Yau threefolds

被引：6

作者：

Diverio, Simone ^{[1
]}

Ferretti, Andrea ^{[2
]}

机构：

[1] Univ Paris 06, UMR7586, CNRS, Inst Math Jussieu Paris Rive Gauche, F-75005 Paris, France

[2] Univ Lille 1, Lab Paul Painleve, F-59655 Villeneuve Dascq, France

来源：

COMMENTARII MATHEMATICI HELVETICI | 2014年 / 89卷 / 01期

关键词：

Calabi-Yau threefold; rational curve; nef cone; rational points of cubic forms; Kobayashi's conjecture; MANIFOLDS;

D O I：

10.4171/CMH/315

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a Calabi-Yau threefold. We show that if there exists on X a non-zero nef non-ample divisor then X contains a rational curve, provided its second Betti number is greater than 4.

引用

页码：157 / 172

页数：16

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