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Binomial Residues

Algebraic Geometry 2007-05-23 v1 Combinatorics

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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Cite

@article{arxiv.math/0003178,
  title  = {Binomial Residues},
  author = {Eduardo Cattani and Alicia Dickenstein and Bernd Sturmfels},
  journal= {arXiv preprint arXiv:math/0003178},
  year   = {2007}
}

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LaTeX, 20 pages