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arXiv · 2205.15756

The movable cone of Calabi--Yau threefolds in ruled Fano manifolds

Atsushi Ito·Ching-Jui Lai·Sz-Sheng Wang
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Abstract

We describe explicitly the chamber structure of the movable cone for a general complete intersection Calabi--Yau threefold in a non-split $(n + 4)$-dimensional $\mathbb{P}^{n}$-ruled Fano manifold of index $n + 1$ and Picard number two. Moreover, all birational minimal models of such Calabi--Yau threefolds are found whose number is finite.

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Atsushi Ito, Ching-Jui Lai, Sz-Sheng Wang. 2022-05-31. The movable cone of Calabi--Yau threefolds in ruled Fano manifolds. https://doi.org/10.1016/j.geomphys.2023.105053

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