About a class of Calabi-Yau differential equations

Gert Almkvist; Michael Bogner; Jesús Guillera

About a class of Calabi-Yau differential equations

Number Theory 2013-10-25 v1

Authors: Gert Almkvist , Michael Bogner , Jesús Guillera

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.

Keywords

Calabi-Yau differential equations modular functions genus zero geometric invariants experimental method

Cite

@article{arxiv.1310.6658,
  title  = {About a class of Calabi-Yau differential equations},
  author = {Gert Almkvist and Michael Bogner and Jesús Guillera},
  journal= {arXiv preprint arXiv:1310.6658},
  year   = {2013}
}

Comments

21 pages

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