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arXiv · 2103.08651

Calabi-Yau operators of degree two

Gert Almkvist·Duco van Straten
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Abstract

We show that the solutions to the equations defining the so-called Calabi-Yau condition for fourth order operators of degree two defines a variety that consists of ten irreducible components. These can be described completely in parametric form, but only two of the components seem to admit arithmetically interesting operators. We include a description of the 69 essentially distinct fourth order Calabi-Yau operators of degree two that are presently known to us.

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Gert Almkvist, Duco van Straten. 2021-03-15. Calabi-Yau operators of degree two. https://arxiv.org/abs/2103.08651

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