Calabi–Yau operators of degree two
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We show that the solutions to the equations, defining the so-called Calabi–Yau condition for fourth-order operators of degree two, define 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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Journal of algebraic combinatorics, 58, Springer Science + Business Media B.V., Dordrecht u.a., 2023, https://doi.org/10.1007/s10801-023-01272-0