Binomial residues
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,...
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todo:paper_03730956_v52_n3_p687_Cattani2023-10-03T15:30:12Z Binomial residues Cattani, E. Dickenstein, A. Sturmfels, B. Binomial residues Hypergeometric functions Lawrence configurations 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. Fil:Cattani, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dickenstein, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03730956_v52_n3_p687_Cattani |
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Universidad de Buenos Aires |
institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Binomial residues Hypergeometric functions Lawrence configurations |
spellingShingle |
Binomial residues Hypergeometric functions Lawrence configurations Cattani, E. Dickenstein, A. Sturmfels, B. Binomial residues |
topic_facet |
Binomial residues Hypergeometric functions Lawrence configurations |
description |
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. |
format |
JOUR |
author |
Cattani, E. Dickenstein, A. Sturmfels, B. |
author_facet |
Cattani, E. Dickenstein, A. Sturmfels, B. |
author_sort |
Cattani, E. |
title |
Binomial residues |
title_short |
Binomial residues |
title_full |
Binomial residues |
title_fullStr |
Binomial residues |
title_full_unstemmed |
Binomial residues |
title_sort |
binomial residues |
url |
http://hdl.handle.net/20.500.12110/paper_03730956_v52_n3_p687_Cattani |
work_keys_str_mv |
AT cattanie binomialresidues AT dickensteina binomialresidues AT sturmfelsb binomialresidues |
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1782023977536847872 |