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Binomial Residues

Eduardo Cattani·Alicia Dickenstein·Bernd Sturmfels
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Abstract

A binomial residue is a rational function defined by a hypergeometric integral whose kernel is singular along binomial divisors. Binomial residues provide an integral representation for rational solutions of A-hypergeometric systems of Lawrence type. The space of binomial residues of a given degree, modulo those which are polynomial in some variable, has dimension equal to the Euler characteristic of the matroid associated with A.

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Eduardo Cattani, Alicia Dickenstein, Bernd Sturmfels. 2000-03-28. Binomial Residues. https://arxiv.org/abs/math/0003178

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