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arXiv · 1310.6658

About a class of Calabi-Yau differential equations

Gert Almkvist·Michael Bogner·Jesús Guillera
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Abstract

We explain an experimental method to find CY-type differential equations of order $3$ related to modular functions of genus zero. We introduce a similar class of Calabi-Yau differential equations of order $5$, show several examples and make a conjecture related to some geometric invariants. We finish the paper with a few examples of seven order.

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Gert Almkvist, Michael Bogner, Jesús Guillera. 2013-10-24. About a class of Calabi-Yau differential equations. https://arxiv.org/abs/1310.6658

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