A Global Torelli Theorem for Certain Calabi-Yau Threefolds

Abstract

We establish a global Torelli theorem for the complete family of Calabi-Yau threefolds arising from cyclic triple covers of ${{\mathbb {P}}}^3$ branched along six stable hyperplanes.

Keywords

Global Torelli theorem / Calabi-Yau threefolds / Hyperplane arrangements

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Funding

National Key Research and Development Project(2020YFA0713100)

Fundamental Research Funds for the Central Universities(WK3470000018)

National Natural Science Foundation of China(11721101)

Youth Innovation Promotion Association of the Chinese Academy of Sciences

Anhui Provincial Natural Science Foundation(2008085MA04)

Anhui Initiative in Quantum Information Technologies(AHY150200)