Given a Fano complete intersection defined by sections of a collection nef line bundles $L_1,\dots ,L_c$ on a Fano toric manifold $Y$, a construction of Givental/Hori–Vafa provides a mirror-dual Landau–Ginzburg model. This construction depends on a choice of suitable nef partition; that is, a partition of the rays of the fan determined by $Y$. We show that Landau–Ginzburg models constructed from different nef partitions representing the same complete intersection are related by a volume preserving birational map. In particular, various Laurent polynomial mirrors which may be obtained from these Landau–Ginzburg models are mutation equivalent.

中文翻译：

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Fano 环面完全交叉的镜像模型的双有性

给定由集合 nef 线束的部分定义的 Fano 完全交集 ${升}_1,\dots ,{升}_C$ 在 Fano 复曲面流形上 $是$，Givental/Hori-Vafa 的构造提供了镜像对偶 Landau-Ginzburg 模型。这种结构取决于选择合适的 nef 分区；也就是说，扇形光线的分区由下式确定$是$. 我们表明，由代表相同完整交叉点的不同 nef 分区构建的 Landau-Ginzburg 模型通过体积保留双理映射相关。特别是，可以从这些 Landau-Ginzburg 模型中获得的各种 Laurent 多项式镜像是突变等价的。