About a class of Calabi-Yau differential equations

preprint2013arXivOpen access

Abstract

We explain an experimental method to find CY-type differential equations of order 33 related to modular functions of genus zero. We introduce a similar class of Calabi-Yau differential equations of order 55, 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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