Periods of rigid double octic Calabi–Yau threefolds
Volume 123 / 2019
Annales Polonici Mathematici 123 (2019), 243-258
MSC: Primary 14J32; Secondary 14G10, 11F23.
DOI: 10.4064/ap180608-23-10
Published online: 22 March 2019
Abstract
We compute numerical approximations of the period integrals for eleven rigid double octic Calabi–Yau threefolds and compare them with the periods of the corresponding weight four cusp forms, finding commensurabilities as expected. These give information on the correspondences of these varieties with the associated Kuga–Sato modular threefolds.
