The movable cone of certain Calabi-Yau threefolds of Picard number two

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:226

Article

Lai, Ching-Jui¹  Wang, Sz-Sheng² 

[1] Natl Cheng Kung Univ, Dept Math, Tainan 70101, Taiwan

[2] Southeast Univ, Shing Tung Yau Ctr, Nanjing 211189, Peoples R China

关键词: Calabi-Yau threefold;    Birational geometry;    Movable cone;   

DOI  :  10.1016/j.jpaa.2021.106841

来源: Elsevier

【 摘 要 】

We describe explicitly the chamber structure of the movable cone for a general smooth complete intersection Calabi-Yau threefold X of Picard number two in certain P-r-ruled Fano manifold and hence verify the Morrison-Kawamata cone conjecture for such X. Moreover, all birational minimal models of such Calabi-Yau threefolds are found, whose number is finite up to isomorphism. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free