Calabi–Yau operators of degree two-Reference-Cited by-同舟云学术

Calabi–Yau operators of degree two

Published:2023-10-10 Issue:4 Volume:58 Page:1203-1259
ISSN:0925-9899
Container-title:Journal of Algebraic Combinatorics
language:en
Short-container-title:J Algebr Comb

Author:

Almkvist Gert,van Straten Duco^ORCID

Abstract

AbstractWe 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.

Funder

Johannes Gutenberg-Universität Mainz

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s10801-023-01272-0.pdf

Reference44 articles.

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5. Almkvist, G.: Calabi–Yau differential equations of degree 2 and 3 and Yifan Yang’s pullback. arXiv:math.AG/0612215