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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 rational function all whose partial derivatives
are non zero, and which is a solution of an A-hypergeometric system of
partial differential equations defined by Gel'fand, Kapranov and
Zelevinsky.
We show that all stable rational A-hypergeometric functions may be
described by toric residues and apply our results to study the
rationality of bivariate series whose coefficients are quotients of
factorials of linear forms.
Joint work with Eduardo Cattani and Fernando Rodriguez Villegas.
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