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arXiv · 1810.04495

Hilbert modularity of some double octic Calabi--Yau threefolds

Slawomir Cynk·Matthias Schütt·Duco van Straten
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Abstract

We exhibit three double octic Calabi--Yau threefolds over the certain quadratic fields and prove their modularity. The non-rigid threefold has two conjugate Hilbert modular forms of weight [4,2] and [2,4] attached while the two rigid threefolds correspond to a Hilbert modular form of weight [4,4] and to the twist of the restriction of a classical modular form of weight 4.

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Slawomir Cynk, Matthias Schütt, Duco van Straten. 2018-10-10. Hilbert modularity of some double octic Calabi--Yau threefolds. https://arxiv.org/abs/1810.04495

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