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arXiv · 1910.05218

Computing period integrals of rigid double octic Calabi-Yau threefolds with Picard-Fuchs operator

Tymoteusz Chmiel
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Abstract

We present a method for numerical computation of period integrals of a rigid Calabi-Yau threefold using Picard-Fuchs operator of a one-parameter smoothing. Our method gives a possibility of computing the lattice of period integrals of a rigid double octic without any explicit knowledge of its geometric properties, employing only simple facts from the theory of Fuchsian equations and computations in MAPLE with a library for differential equations. As a surprising consequence we also get approximations of additional integrals related to a singular (nodal) model of considered Calabi-Yau threefold.

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Tymoteusz Chmiel. 2019-10-11. Computing period integrals of rigid double octic Calabi-Yau threefolds with Picard-Fuchs operator. https://arxiv.org/abs/1910.05218

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