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Combinatorics of binomial primary decomposition

2009; Springer Science+Business Media; Volume: 264; Issue: 4 Linguagem: Inglês

10.1007/s00209-009-0487-x

1432-1823

Alicia Dickenstein, Laura Felicia Matusevich, Ezra Miller,

Algebraic Geometry and Number Theory

An explicit lattice point realization is provided for the primary components of an arbitrary binomial ideal in characteristic zero. This decomposition is derived from a characteristic-free combinatorial description of certain primary components of binomial ideals in affine semigroup rings, namely those that are associated to faces of the semigroup. These results are intimately connected to hypergeometric differential equations in several variables.