On generalized hypergeometric equations and mirror maps

Julien Roques
2014 Proceedings of the American Mathematical Society  
This paper deals with generalized hypergeometric differential equations of order n ≥ 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 ≥ 3 having maximal unipotent monodromy at 0 such that the associated mirror
more » ... associated mirror map has the above integrality property.
doi:10.1090/s0002-9939-2014-12161-7 fatcat:oeorjeg3vjaibd2p7nshedsai4