Borcea-Voisin Calabi-Yau threefolds and invertible potentials
classification
🧮 math.AG
keywords
mirrorborcea-voisincalabi-yaupairsthreefoldsadmitberglund-hbirational
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We prove that the Borcea-Voisin mirror pairs of Calabi-Yau threefolds admit projective birational models that satisfy the Berglund-H\"ubsch-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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