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Annales de l’institut Fourier
Article . 2002 . Peer-reviewed
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Article . 2002
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https://dx.doi.org/10.48550/ar...
Article . 2000
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Binomial residues

Authors: Cattani, E; Dickenstein, A; Sturmfels, B;

Binomial residues

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 .

Country
United States
Keywords

Holomorphic functions of several complex variables, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Combinatorial aspects of matroids and geometric lattices, Symbolic computation and algebraic computation, Mathematics - Algebraic Geometry, 33C60 (Primary) 05B35, 14M25, 32A27 (Secondary), binomial residues, FOS: Mathematics, Mathematics - Combinatorics, Lawrence configurations, Combinatorics (math.CO), Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic Geometry, Algebraic Geometry (math.AG), Hyperfunctions, hypergeometric functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Top 10%
Average
Green
gold