Borcea-Voisin Calabi-Yau threefolds and invertible potentials

preprint2015arXivOpen access

Abstract

We prove that the Borcea-Voisin mirror pairs of Calabi-Yau threefolds admit projective birational models that satisfy the Berglund-Hübsch-Chiodo-Ruan transposition rule. This shows that the two mirror constructions provide the same mirror pairs, as soon as both can be defined.

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