发表机构
Institute for Information Transmission Problems RAS（俄罗斯科学院信息传输问题研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
提出生成所有Berglund-Hubsch型Calabi-Yau轨道流形及其镜像对的算法，并给出极大允许群的分类方法，应用于Fermat型Calabi-Yau流形。
AI 中文摘要
本文提出了一种算法，用于构造与任意Berglund-Hubsch型模型相关的所有Calabi-Yau轨道流形及其镜像对，并证明了其正确性。特别地，该方法给出了定义相应轨道流形的群的显式生成元。提出了极大允许群的分类方法。我们将该分类方法应用于任意Fermat型Calabi-Yau流形。此外，作为示例，我们分类了Fermat型Calabi-Yau三维流形的所有极大允许群。
英文摘要
In this paper, we present an algorithm for constructing all Calabi-Yau orbifolds and their mirror pairs associated with an arbitrary Berglund-Hubsch-type model, and prove its correctness. In particular, the proposed method yields explicit generators for the groups defining the corresponding orbifolds. The method for classifying maximal admissible groups is proposed. We illustrate the application of the classification approach to an arbitrary Fermat-type Calabi-Yau manifold. In addition, as an illustrative example, we classify all maximal admissible groups of Fermat-type Calabi-Yau threefolds.
Comments16 pages
