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Borcea-Voisin Calabi-Yau threefolds and invertible potentials

2015/01/30 by Michela Artebani, Artebani, Michela, Samuel Boissière +4
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG

paper · pdf · doi:10.48550/arxiv.1501.07895

With an appendix in collaboration with Sara A. Filippini

arxiv created 2015/01/30 · openalex publication_date 2015/01/30 · arxiv updated 2015/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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