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Birationality of mirror models for Fano toric complete intersections
Bulletin of the London Mathematical Society ( IF 0.8 ) Pub Date : 2021-05-04 , DOI: 10.1112/blms.12505
Thomas Prince 1, 2
Affiliation  

Given a Fano complete intersection defined by sections of a collection nef line bundles L 1 , , 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:

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 1 , , C 在 Fano 复曲面流形上 ,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 . 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。
更新日期:2021-05-04
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