On rank $2$ hypergeometric motives
Number Theory
2026-03-19 v1
Abstract
Hypergeometric motives are family of motives associated to hypergeometric local systems. Their special features, in particular their rigidity, makes them more tractable than general motives. In the present article we prove most of the properties that they are expected to satisfy in the rank case.
Keywords
Cite
@article{arxiv.2603.17978,
title = {On rank $2$ hypergeometric motives},
author = {Franco Golfieri Madriaga and Ariel Pacetti and Fernando Rodriguez Villegas},
journal= {arXiv preprint arXiv:2603.17978},
year = {2026}
}
Comments
54 pages, with an Appendix by Elisa Lorenzo Garc\'ia and Ariel Pacetti