
arXiv: math/0003178
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 .
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
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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