On rank $2$ hypergeometric motives

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 $2$ case.

54 pages, with an Appendix by Elisa Lorenzo García and Ariel Pacetti