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Borcea–Voisin Calabi–Yau threefolds and invertible potentials
Author(s) -
Artebani Michela,
Boissière Samuel,
Sarti Alessandra
Publication year - 2015
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500055
Subject(s) - calabi–yau manifold , mathematics , invertible matrix , pure mathematics , transposition (logic) , projective test , algebra over a field , geometry
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.