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arXiv · 2012.03320

Periods of the multiple Berglund-Huebsch-Krawitz mirrors

Alexander Belavin·Vladimir Belavin·Gleb Koshevoy
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Abstract

We consider the multiple Calaby-Yau (CY) mirror phenomenon which appears in Berglund-Hübsch-Krawitz (BHK) mirror symmetry. We show that for any pair of Calabi--Yau orbifolds that are BHK mirrors of a loop--chain type pair of Calabi--Yau manifolds in the same weighted projective space the periods of the holomorphic nonvanishing form coincide.

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Alexander Belavin, Vladimir Belavin, Gleb Koshevoy. 2021-05-25. Periods of the multiple Berglund-Huebsch-Krawitz mirrors. https://doi.org/10.1007/s11005-021-01439-5

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