Relationship between two Calabi-Yau orbifolds arising as hyper-surfaces in a quotient of the same weighted projective space. (English) Zbl 1531.81053
Summary: In this article we consider a question: what is the relation between two Calabi-Yau manifolds of two different Berglund-Hubsch types if they appear as hyper-surfaces in the quotient of the same weighted projective space. We show that these manifolds are connected by a special change of coordinates, which we call the resonance transformation.
MSC:
| 81P55 | Special bases (entangled, mutual unbiased, etc.) |
| 14J32 | Calabi-Yau manifolds (algebro-geometric aspects) |
| 57R18 | Topology and geometry of orbifolds |
| 51E20 | Combinatorial structures in finite projective spaces |
| 35B34 | Resonance in context of PDEs |
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