Calabi-Yau operators of degree two
Algebraic Geometry
2021-03-17 v1
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.
Keywords
Cite
@article{arxiv.2103.08651,
title = {Calabi-Yau operators of degree two},
author = {Gert Almkvist and Duco van Straten},
journal= {arXiv preprint arXiv:2103.08651},
year = {2021}
}
Comments
53 pages