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arXiv · 2101.04093

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

Ching-Jui Lai·Sz-Sheng Wang
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Abstract

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 Pr-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.

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Ching-Jui Lai, Sz-Sheng Wang. 2021-01-11. The movable cone of certain Calabi-Yau threefolds of Picard number two. https://doi.org/10.1016/j.jpaa.2021.106841

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