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Abstract: We describe the structure of all codimension-two lattice configurations $A$which admit a stable rational $A$-hypergeometric function, that is a rationalfunction $F$ all whose partial derivatives are non zero, and which is asolution of the $A$-hypergeometric system of partial differential equationsdefined by Gel-fand, Kapranov and Zelevinsky. We show, moreover, that allstable rational $A$-hypergeometric functions may be described by toric residuesand apply our results to study the rationality of bivariate series whosecoefficients are quotients of factorials of linear forms.



Autor: Eduardo Cattani, Alicia Dickenstein, Fernando Rodriguez Villegas

Fuente: https://arxiv.org/







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