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arxiv: 1310.6658 · v1 · pith:P76GLR32new · submitted 2013-10-24 · 🧮 math.NT

About a class of Calabi-Yau differential equations

classification 🧮 math.NT
keywords differentialequationsordercalabi-yauclassexamplesrelatedconjecture
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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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