Authors:	Almkvist, Gert van Straten, Duco
Title:	Calabi–Yau operators of degree two
Online publication date:	8-Jan-2024
Year of first publication:	2023
Language:	english
Abstract:	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.
DDC:	510 Mathematik 510 Mathematics
Institution:	Johannes Gutenberg-Universität Mainz
Department:	FB 08 Physik, Mathematik u. Informatik
Place:	Mainz
ROR:	https://ror.org/023b0x485
DOI:	http://doi.org/10.25358/openscience-9860
Version:	Published version
Publication type:	Zeitschriftenaufsatz
License:	CC BY
Information on rights of use:	https://creativecommons.org/licenses/by/4.0/
Journal:	Journal of algebraic combinatorics 58
Pages or article number:	1203 1259
Publisher:	Springer Science + Business Media B.V.
Publisher place:	Dordrecht u.a.
Issue date:	2023
ISSN:	1572-9192
Publisher DOI:	10.1007/s10801-023-01272-0
Appears in collections:	DFG-491381577-H