Borcea-Voisin Calabi-Yau 三维流形与可逆势
代数几何
2015-02-02 v1
摘要
我们证明 Calabi-Yau 三维流形的 Borcea-Voisin 镜像对允许存在满足 Berglund-H"ubsch-Chiodo-Ruan 转置规则的射影双有理模型。这表明，只要这两种镜像构造均可定义，它们便提供相同的镜像对。
引用
@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}
}
备注
With an appendix in collaboration with Sara A. Filippini