On generalized hypergeometric equations and mirror maps

Julien Roques (1)

1 IF - Institut Fourier

This paper deals with generalized hypergeometric differential equations of order $ n \geq 3$ having maximal unipotent monodromy at 0. We show that among these equations those leading to mirror maps with integral Taylor coefficients at 0 (up to simple rescaling) have special parameters, namely $ R$-partitioned parameters. This result yields the classification of all generalized hypergeometric differential equations of order $ n \geq 3$ having maximal unipotent monodromy at 0 such that the associated mirror map has the above integrality property.

Domaines: Mathématiques [math]

Julien Roques. On generalized hypergeometric equations and mirror maps. Proceedings of the American Mathematical Society, 2014, 142 (9), pp.3153-3167. ⟨10.1090/S0002-9939-2014-12161-7⟩. ⟨hal-01983172⟩