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.
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页码：1472 / 1495
页数：24
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