Combinatorics of binomial primary decomposition

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 th...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Dickenstein, A., Matusevich, L.F., Miller, E.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00255874_v264_n4_p745_Dickenstein
Aporte de:
Descripción
Sumario: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. © Springer-Verlag 2009.