Binomial residues

Eduardo Cattani[1]; Alicia Dickenstein[2]; Bernd Sturmfels[3]

  • [1] University of Massachusetts, Department of Mathematics and Statistics, Amherst MA 01003 (USA)
  • [2] Universidad de Buenos Aires, Departamento de Matematica, FCEyN (1428), Buenos Aires (Argentine)
  • [3] University of California, Department of Mathematics, Berkeley CA 94720(USA)

Annales de l’institut Fourier (2002)

  • Volume: 52, Issue: 3, page 687-708
  • ISSN: 0373-0956

Abstract

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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 .

How to cite

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Cattani, Eduardo, Dickenstein, Alicia, and Sturmfels, Bernd. "Binomial residues." Annales de l’institut Fourier 52.3 (2002): 687-708. <http://eudml.org/doc/115991>.

@article{Cattani2002,
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 $A$.},
affiliation = {University of Massachusetts, Department of Mathematics and Statistics, Amherst MA 01003 (USA); Universidad de Buenos Aires, Departamento de Matematica, FCEyN (1428), Buenos Aires (Argentine); University of California, Department of Mathematics, Berkeley CA 94720(USA)},
author = {Cattani, Eduardo, Dickenstein, Alicia, Sturmfels, Bernd},
journal = {Annales de l’institut Fourier},
keywords = {binomial residues; hypergeometric functions; Lawrence configurations},
language = {eng},
number = {3},
pages = {687-708},
publisher = {Association des Annales de l'Institut Fourier},
title = {Binomial residues},
url = {http://eudml.org/doc/115991},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Cattani, Eduardo
AU - Dickenstein, Alicia
AU - Sturmfels, Bernd
TI - Binomial residues
JO - Annales de l’institut Fourier
PY - 2002
PB - Association des Annales de l'Institut Fourier
VL - 52
IS - 3
SP - 687
EP - 708
AB - 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 $A$.
LA - eng
KW - binomial residues; hypergeometric functions; Lawrence configurations
UR - http://eudml.org/doc/115991
ER -

References

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