On Numerical Dimensions of Calabi-Yau Varieties

被引：0

作者：

Jiang, Chen ^{[1
]}

Wang, Long ^{[2
]}

机构：

[1] Fudan Univ, Shanghai Ctr Math Sci, Jiangwan Campus, Shanghai 200438, Peoples R China

[2] Univ Tokyo, Grad Sch Math Sci, 3-8-1 Komaba, Meguro ku, Tokyo 1538914, Japan

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2024年 / 2024卷 / 02期

关键词：

BIRATIONAL AUTOMORPHISM; MINIMAL MODELS; MANIFOLDS; CONE;

D O I：

10.1093/imrn/rnad032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a Calabi-Yau variety of Picard number two with infinite birational automorphism group. We show that the numerical dimension kappa(sigma)(R) of the extremal rays of the closed movable cone of X is dim X/2. More generally, we investigate the relation between the two numerical dimensions kappa(sigma)(R) and kappa(R)(vol) for Calabi-Yau varieties. We also compute kappa(sigma)(R) for non-big divisors in the closed movable cone of a projective hyperahler manifold.

引用

页码：1472 / 1495

页数：24

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