Rational Curves and Strictly nef Divisors on Calabi-Yau Threefolds

被引：0
作者：
Liu, Haidong [1 ]
Svaldi, Roberto [2 ,3 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
[2] Univ Milan, Dipartimento Matemat F Enriques, Via Saldini 50, I-20133 Milan, MI, Italy
[3] Ecole Polytech Fed Lausanne, SB MATH GE, MA B1 497,Batiment MA,Stn 8, CH-1015 Lausanne, Switzerland
来源：
DOCUMENTA MATHEMATICA | 2022年 / 27卷
关键词：
rational curves; strictly nef divisors; CalabiYau; threefolds; MANIFOLDS; CONJECTURE; CONE; ABUNDANCE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a criterion for a nef divisor D to be semi-ample on a Calabi-Yau threefold X when D3 = 0 = c2 (X)center dot D and c3 (X) 6= 0. As a direct consequence, we show that on such a variety X, if D is strictly nef and.(D) 6= 1, then D is ample; we also show that if there exists a Cariter divisor D 6= 0 in the boundary of the nef cone of X, then X contains a rational curve when its topological Euler characteristic is not 0
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页码：1581 / 1604
页数：24
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