Borcea-Voisin Calabi-Yau threefolds and invertible potentials
Algebraic Geometry
2015-02-02 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1501.07895,
title = {Borcea-Voisin Calabi-Yau threefolds and invertible potentials},
author = {Michela Artebani and Samuel Boissière and Alessandra Sarti},
journal= {arXiv preprint arXiv:1501.07895},
year = {2015}
}
Comments
With an appendix in collaboration with Sara A. Filippini